$$ \begin{aligned} \frac{x}{4}-6 &= 2&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{x}{4}-4\cdot6 &= 4\cdot2&& \text{cancel out the denominators} \\[1 em]x-24 &= 8&& \text{ move -24 to the right } \\[1 em]x &= 8+24&& \\[1 em]x &= 32&& \\[1 em]x &= 32&& \\[1 em] \end{aligned} $$
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