Question
$$\frac{x}{6} = \frac{10}{8}$$
Answer
$$ x = \dfrac{15}{2} $$
Explanation
$$ \begin{aligned} \frac{x}{6} &= \frac{10}{8}&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24 \cdot \frac{x}{6} &= 24\cdot\frac{10}{8}&& \text{cancel out the denominators} \\[1 em]4x &= 30&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{30}{4}&& \\[1 em]x &= \frac{15}{2}&& \\[1 em] \end{aligned} $$
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