$$ \begin{aligned} \frac{2}{3}x+8-16 &= 36&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot8-3\cdot16 &= 3\cdot36&& \text{cancel out the denominators} \\[1 em]2x+24-48 &= 108&& \text{simplify left side} \\[1 em]2x-24 &= 108&& \text{ move -24 to the right } \\[1 em]2x &= 108+24&& \\[1 em]2x &= 132&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{132}{2}&& \\[1 em]x &= 66&& \\[1 em] \end{aligned} $$

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