Question
$$-\frac{5}{8}x\cdot10 = 0$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} -\frac{5}{8}x\cdot10 &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]-8 \cdot \frac{5}{8}x\cdot10 &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]-50x &= 0&& \text{ divide both sides by $ -50 $ } \\[1 em]x &= \frac{0}{-50}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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