$$ \begin{aligned} \frac{2}{3}x-5 &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{2}{3}x-12\cdot5 &= 12\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]8x-60 &= 9&& \text{ move -60 to the right } \\[1 em]8x &= 9+60&& \\[1 em]8x &= 69&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{69}{8}&& \\[1 em] \end{aligned} $$

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