Question
$$8+4x = 9x-7$$
Answer
$$ x = 3 $$
Explanation
$$ \begin{aligned} 8+4x &= 9x-7&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]4x-9x &= -7-8&& \text{simplify left and right hand side} \\[1 em]-5x &= -15&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= \frac{-15}{-5}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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