$$ \begin{aligned} a-\frac{1}{2} &= \frac{3}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8a-8\cdot\frac{1}{2} &= 8\cdot\frac{3}{8}&& \text{cancel out the denominators} \\[1 em]8a-4 &= 3&& \text{ move -4 to the right } \\[1 em]8a &= 3+4&& \\[1 em]8a &= 7&& \text{ divide both sides by $ 8 $ } \\[1 em]a &= \frac{7}{8}&& \\[1 em] \end{aligned} $$

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