$$ \begin{aligned} \frac{2}{3}x+\frac{3}{4} &= 8&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{2}{3}x+12\cdot\frac{3}{4} &= 12\cdot8&& \text{cancel out the denominators} \\[1 em]8x+9 &= 96&& \text{ move 9 to the right } \\[1 em]8x &= 96-9&& \\[1 em]8x &= 87&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{87}{8}&& \\[1 em] \end{aligned} $$

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