$$4x-10 = 9x+30$$
Answer
$$ x = -8 $$
Explanation
$$ \begin{aligned} 4x-10 &= 9x+30&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -10 }$ to the right} \\[1 em]4x-9x &= 30+10&& \text{simplify left and right hand side} \\[1 em]-5x &= 40&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{40}{5}&& \\[1 em]x &= -8&& \\[1 em] \end{aligned} $$
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