$$ \begin{aligned} \frac{3}{5}x-3 &= 12&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{3}{5}x-5\cdot3 &= 5\cdot12&& \text{cancel out the denominators} \\[1 em]3x-15 &= 60&& \text{ move -15 to the right } \\[1 em]3x &= 60+15&& \\[1 em]3x &= 75&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{75}{3}&& \\[1 em]x &= 25&& \\[1 em] \end{aligned} $$

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