Question
$$2x+12 = 5x-18$$
Answer
$$ x = 10 $$
Explanation
$$ \begin{aligned} 2x+12 &= 5x-18&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]2x-5x &= -18-12&& \text{simplify left and right hand side} \\[1 em]-3x &= -30&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-30}{-3}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$
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