$$\frac{3}{a}-\frac{5}{a} = 2$$

$$ \begin{aligned} \frac{3}{a}-\frac{5}{a} &= 2&& \text{multiply ALL terms by } \color{blue}{ a }. \\[1 em]a\cdot\frac{3}{a}-a\cdot\frac{5}{a} &= a\cdot2&& \text{cancel out the denominators} \\[1 em]3-5 &= 2a&& \text{simplify left side} \\[1 em]-2 &= 2a&& \text{ swap the left and right side of the equation } \\[1 em]2a &= -2&& \text{ divide both sides by $ 2 $ } \\[1 em]a &= -\frac{2}{2}&& \\[1 em]a &= -1&& \\[1 em] \end{aligned} $$

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