$$ \begin{aligned} 5x &= 3(x-4)&& \text{simplify right side} \\[1 em]5x &= 3x-12&& \text{move the $ \color{blue}{ 3x } $ to the left side} \\[1 em]5x-3x &= -12&& \text{simplify left side} \\[1 em]2x &= -12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{12}{2}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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