$$ \begin{aligned} x\cdot2-32 &= 4x&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -32 }$ to the right} \\[1 em]2x-4x &= 32&& \text{simplify left side} \\[1 em]-2x &= 32&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{32}{2}&& \\[1 em]x &= -16&& \\[1 em] \end{aligned} $$
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