$$ \begin{aligned} 9x+7 &= 3x-5&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]9x-3x &= -5-7&& \text{simplify left and right hand side} \\[1 em]6x &= -12&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{12}{6}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$
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