$$ \begin{aligned} \frac{x}{8} &= \frac{9}{24}&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24 \cdot \frac{x}{8} &= 24\cdot\frac{9}{24}&& \text{cancel out the denominators} \\[1 em]3x &= 9&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{9}{3}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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