$$ \begin{aligned} x-4 &= 2x&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]x-2x &= 4&& \text{simplify left side} \\[1 em]-x &= 4&& \text{switch signs on both sides} \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$