$$ \begin{aligned} x+4 &= 4x-48&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]x-4x &= -48-4&& \text{simplify left and right hand side} \\[1 em]-3x &= -52&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-52}{-3}&& \\[1 em]x &= \frac{52}{3}&& \\[1 em] \end{aligned} $$
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