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