$$ \begin{aligned} \frac{5}{8}x-10 &= 5&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{5}{8}x-8\cdot10 &= 8\cdot5&& \text{cancel out the denominators} \\[1 em]5x-80 &= 40&& \text{ move -80 to the right } \\[1 em]5x &= 40+80&& \\[1 em]5x &= 120&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{120}{5}&& \\[1 em]x &= 24&& \\[1 em] \end{aligned} $$

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