$$5-2x = 3-4x+13$$

$$ \begin{aligned} 5-2x &= 3-4x+13&& \text{simplify left and right hand side} \\[1 em]-2x+5 &= -4x+16&& \text{move the $ \color{blue}{ -4x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]-2x+4x &= 16-5&& \text{simplify left and right hand side} \\[1 em]2x &= 11&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{11}{2}&& \\[1 em] \end{aligned} $$

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