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