$$4x-8 = 8 \cdot \frac{x}{4}$$

$$ \begin{aligned} 4x-8 &= 8 \cdot \frac{x}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot4x-4\cdot8 &= 4\cdot8 \cdot \frac{x}{4}&& \text{cancel out the denominators} \\[1 em]16x-32 &= 8x&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ -32 }$ to the right} \\[1 em]16x-8x &= 32&& \text{simplify left side} \\[1 em]8x &= 32&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{32}{8}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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