$$ \begin{aligned} \frac{5}{x} &= 15&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{5}{x} &= x\cdot15&& \text{cancel out the denominators} \\[1 em]5 &= 15x&& \text{ swap the left and right side of the equation } \\[1 em]15x &= 5&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= \frac{5}{15}&& \\[1 em]x &= \frac{1}{3}&& \\[1 em] \end{aligned} $$

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