$$\frac{10}{x} = 5$$

$$ \begin{aligned} \frac{10}{x} &= 5&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{10}{x} &= x\cdot5&& \text{cancel out the denominators} \\[1 em]10 &= 5x&& \text{ swap the left and right side of the equation } \\[1 em]5x &= 10&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{10}{5}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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