Question
$$x-2 = -3x+14$$
Answer
$$ x = 4 $$
Explanation
$$ \begin{aligned} x-2 &= -3x+14&& \text{move the $ \color{blue}{ -3x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]x+3x &= 14+2&& \text{simplify left and right hand side} \\[1 em]4x &= 16&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{16}{4}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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