$$\frac{409}{x} = 113$$

$$ \begin{aligned} \frac{409}{x} &= 113&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{409}{x} &= x\cdot113&& \text{cancel out the denominators} \\[1 em]409 &= 113x&& \text{ swap the left and right side of the equation } \\[1 em]113x &= 409&& \text{ divide both sides by $ 113 $ } \\[1 em]x &= \frac{409}{113}&& \\[1 em] \end{aligned} $$

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