$$ \begin{aligned} a-\frac{4}{8} &= \frac{3}{2}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8a-8\cdot\frac{4}{8} &= 8\cdot\frac{3}{2}&& \text{cancel out the denominators} \\[1 em]8a-4 &= 12&& \text{ move -4 to the right } \\[1 em]8a &= 12+4&& \\[1 em]8a &= 16&& \text{ divide both sides by $ 8 $ } \\[1 em]a &= \frac{16}{8}&& \\[1 em]a &= 2&& \\[1 em] \end{aligned} $$

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