$$ \begin{aligned} \frac{3}{4}x-7 &= 8&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}x-4\cdot7 &= 4\cdot8&& \text{cancel out the denominators} \\[1 em]3x-28 &= 32&& \text{ move -28 to the right } \\[1 em]3x &= 32+28&& \\[1 em]3x &= 60&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{60}{3}&& \\[1 em]x &= 20&& \\[1 em] \end{aligned} $$

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