$$\frac{5}{3-x} = 1$$

$$ \begin{aligned} \frac{5}{3-x} &= 1&& \text{multiply ALL terms by } \color{blue}{ 3-x }. \\[1 em](3-x)\cdot\frac{5}{3-x} &= (3-x)\cdot1&& \text{cancel out the denominators} \\[1 em]5 &= -x+3&& \text{ swap the left and right side of the equation } \\[1 em]-x+3 &= 5&& \text{ move 3 to the right } \\[1 em]-x &= 5-3&& \\[1 em]-x &= 2&& \text{switch signs on both sides} \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$

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