$$7x-8 = 4x+13$$
Answer
$$ x = 7 $$
Explanation
$$ \begin{aligned} 7x-8 &= 4x+13&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]7x-4x &= 13+8&& \text{simplify left and right hand side} \\[1 em]3x &= 21&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{21}{3}&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$
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