Question
$$x-2 = 3x+2$$
Answer
$$ x = -2 $$
Explanation
$$ \begin{aligned} x-2 &= 3x+2&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]x-3x &= 2+2&& \text{simplify left and right hand side} \\[1 em]-2x &= 4&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{4}{2}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$
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