$$4x+10 = 9x-30$$
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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