Question
$$\frac{4}{5} = \frac{8}{x}$$
Answer
$$ x = 10 $$
Explanation
$$ \begin{aligned} \frac{4}{5} &= \frac{8}{x}&& \text{multiply ALL terms by } \color{blue}{ 5x }. \\[1 em]5x\cdot\frac{4}{5} &= 5x\cdot\frac{8}{x}&& \text{cancel out the denominators} \\[1 em]4x &= 40&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{40}{4}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$
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