Question
$$x+4 = 13-x$$
Answer
$$ x = \dfrac{9}{2} $$
Explanation
$$ \begin{aligned} x+4 &= 13-x&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]x+x &= 13-4&& \text{simplify left and right hand side} \\[1 em]2x &= 9&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{9}{2}&& \\[1 em] \end{aligned} $$
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