% backtracking worksheet template
\documentclass[leqno, 12pt]{article}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary {arrows.meta}
\usepackage[a4paper, portrait, margin=1cm]{geometry}
\usepackage{multicol}
\usepackage{fancyhdr}

\tikzset{backtrack/.style={rectangle,draw=black,fill=white,
inner sep=2pt,minimum height=32pt, minimum width=20mm}}
\tikzset{backtrackeq/.style={rectangle,draw=black,fill=white,
inner sep=2pt,minimum height=12pt, minimum width=20mm}}
\tikzset{backtrackstep/.style={rectangle,draw=none,fill=white,
inner sep=2pt,minimum height=12pt, minimum width=20mm}}

\def \HeadingAnswers {\section*{\Large Name: \underline{\hspace{8cm}} \hfill Date: \underline{\hspace{3cm}}} \vspace{-3mm}
{2-step backtracking: Answers} \vspace{1pt}\hrule}

% raise footer with page number; no header
\fancypagestyle{myfancypagestyle}{
  \fancyhf{}% clear all header and footer fields
  \renewcommand{\headrulewidth}{0pt} % no rule under header
  \fancyfoot[C] {\thepage} \setlength{\footskip}{14.5pt} % raise page number allowed min 14.5pt
}
\pagestyle{myfancypagestyle}  % apply myfancypagestyle

\begin{document}
    \HeadingAnswers
    \vspace{-8mm}
    \begin{multicols}{2}
        \begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x-3$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{(x-3)}{10}$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$63$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$60$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$6$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$-3$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\div10$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\times10$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$+3$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$\frac{x}{5}$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{x}{5} + 5$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$25$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$5$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$10$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$\div5$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$+5$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$-5$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$\times5$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x-3$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$5(x-3)$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$8$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$5$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$25$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$-3$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\times5$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\div5$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$+3$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x-6$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{(x-6)}{10}$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$106$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$100$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$10$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$-6$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\div10$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\times10$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$+6$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$\frac{x}{8}$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{x}{8} - 7$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$80$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$10$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$3$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$\div8$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$-7$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$+7$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$\times8$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$\frac{x}{2}$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{x}{2} + 5$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$18$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$9$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$14$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$\div2$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$+5$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$-5$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$\times2$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+1$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{(x+1)}{2}$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$1$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$2$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$1$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+1$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\div2$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\times2$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-1$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$\frac{x}{2}$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{x}{2} - 5$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$24$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$12$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$7$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$\div2$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$-5$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$+5$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$\times2$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+4$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{(x+4)}{10}$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$26$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$30$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$3$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+4$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\div10$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\times10$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-4$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+9$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{(x+9)}{9}$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$45$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$54$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$6$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+9$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\div9$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\times9$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-9$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x-6$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$8(x-6)$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$12$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$6$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$48$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$-6$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\times8$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\div8$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$+6$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+4$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{(x+4)}{4}$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$0$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$4$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$1$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+4$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\div4$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\times4$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-4$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+6$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$3(x + 6)$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$9$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$15$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$45$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+6$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\times3$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\div3$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-6$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+5$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$9(x + 5)$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$6$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$11$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$99$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+5$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\times9$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\div9$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-5$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+7$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$2(x + 7)$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$2$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$9$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$18$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+7$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\times2$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\div2$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-7$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$\frac{x}{8}$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{x}{8} - 8$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$144$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$18$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$10$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$\div8$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$-8$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$+8$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$\times8$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$8x$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$8x - 7$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$9$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$72$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$65$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$\times8$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$-7$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$+7$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$\div8$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+6$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$2(x + 6)$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$4$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$10$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$20$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+6$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\times2$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\div2$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-6$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+1$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$\frac{(x+1)}{9}$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$8$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$9$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$1$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+1$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\div9$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\times9$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-1$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}\begin{equation}
    \begin{tikzpicture}[baseline={([yshift=-12pt]current bounding box.north)}]

        \node[backtrack] (boxA) at (0, 0) {$x$};
        \node[backtrack] (boxB) [right=1cm of boxA] {$x+7$};
        \node[backtrack] (boxC) [right=1cm of boxB] {$8(x + 7)$};

        \node[backtrackeq] (boxAeq) [below=-1pt of boxA] {$=$};
        \node[backtrackeq] (boxBeq) [below=-1pt of boxB] {$=$};
        \node[backtrackeq] (boxCeq) [below=-1pt of boxC] {$=$};

        \node[backtrack] (boxArev) [below=-1pt of boxAeq] {$3$};
        \node[backtrack] (boxBrev) [below=-1pt of boxBeq] {$10$};
        \node[backtrack] (boxCrev) [below=-1pt of boxCeq] {$80$};

        \node (boxAr) at ([yshift=24pt,xshift=5mm]boxA) { };
        \node (boxBl) at ([yshift=24pt,xshift=-5mm]boxB) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxAr)  --node[backtrackstep, above=3.0pt] {$+7$} (boxBl);

        \node (boxBr) at ([yshift=24pt,xshift=5mm]boxB) { };
        \node (boxCl) at ([yshift=24pt,xshift=-5mm]boxC) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBr)  --node[backtrackstep, above=3.0pt] {$\times8$} (boxCl);

        \node (boxCrevl) at ([yshift=-24pt,xshift=-5mm]boxCrev) { };
        \node (boxBrevr) at ([yshift=-24pt,xshift=5mm]boxBrev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxCrevl)  --node[backtrackstep, below=3.0pt] {$\div8$} (boxBrevr);

        \node (boxBrevl) at ([yshift=-24pt,xshift=-5mm]boxBrev) { };
        \node (boxArevr) at ([yshift=-24pt,xshift=5mm]boxArev) { };
        \draw [line width=0.4pt,-{Stealth[length=2mm]}] (boxBrevl)  --node[backtrackstep, below=3.0pt] {$-7$} (boxArevr);

    \end{tikzpicture}
\end{equation}


\vspace{-2pt}
    \end{multicols}
\end{document}