$$ \begin{aligned} \frac{3}{5}x-\frac{1}{2}-\frac{3}{4} &= 0&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20 \cdot \frac{3}{5}x-20\cdot\frac{1}{2}-20\cdot\frac{3}{4} &= 20\cdot0&& \text{cancel out the denominators} \\[1 em]12x-10-15 &= 0&& \text{simplify left side} \\[1 em]12x-25 &= 0&& \text{ move the constants to the right } \\[1 em]12x &= 25&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{25}{12}&& \\[1 em] \end{aligned} $$

This page was created using