$$ \begin{aligned} 1 \cdot \frac{x}{3}+\frac{3}{8} &= \frac{5}{8}&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24\cdot1 \cdot \frac{x}{3}+24\cdot\frac{3}{8} &= 24\cdot\frac{5}{8}&& \text{cancel out the denominators} \\[1 em]8x+9 &= 15&& \text{ move 9 to the right } \\[1 em]8x &= 15-9&& \\[1 em]8x &= 6&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{6}{8}&& \\[1 em]x &= \frac{3}{4}&& \\[1 em] \end{aligned} $$

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