$$ \begin{aligned} \frac{x}{8}-\frac{5}{2} &= \frac{5}{2}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{x}{8}-8\cdot\frac{5}{2} &= 8\cdot\frac{5}{2}&& \text{cancel out the denominators} \\[1 em]x-20 &= 20&& \text{ move -20 to the right } \\[1 em]x &= 20+20&& \\[1 em]x &= 40&& \\[1 em]x &= 40&& \\[1 em] \end{aligned} $$
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