Question
$$3x-10 = 5x+30$$
Answer
$$ x = -20 $$
Explanation
$$ \begin{aligned} 3x-10 &= 5x+30&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ -10 }$ to the right} \\[1 em]3x-5x &= 30+10&& \text{simplify left and right hand side} \\[1 em]-2x &= 40&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{40}{2}&& \\[1 em]x &= -20&& \\[1 em] \end{aligned} $$
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