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9x+12=7x let's see if I am doing this correctly

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Let's begin by listing out the information given to us:


\begin{gathered} 9x+12=7x \\ We\text{ will solve for x by putting like terms together. We have:} \\ \text{Subtract 7x from both sides:} \\ 9x-7x+12=7x_{}-7x \\ 2x+12=0 \\ \text{Subtract 12 from both sides:} \\ 2x+12-12=0-12 \\ 2x=-12 \\ \text{Divide both sides by 2, we have:} \\ (2x)/(2)=-(12)/(2) \\ x=-6 \end{gathered}

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