$$ \begin{aligned} \frac{3}{5}x-\frac{1}{2} &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20 \cdot \frac{3}{5}x-20\cdot\frac{1}{2} &= 20\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]12x-10 &= 15&& \text{ move -10 to the right } \\[1 em]12x &= 15+10&& \\[1 em]12x &= 25&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{25}{12}&& \\[1 em] \end{aligned} $$

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