$$ \begin{aligned} \frac{3}{4}-\frac{3}{5}x &= \frac{2}{5}x+\frac{2}{4}&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20\cdot\frac{3}{4}-20\frac{3}{5}x &= 20 \cdot \frac{2}{5}x+20\cdot\frac{2}{4}&& \text{cancel out the denominators} \\[1 em]15-12x &= 8x+10&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]-12x-8x &= 10-15&& \text{simplify left and right hand side} \\[1 em]-20x &= -5&& \text{ divide both sides by $ -20 $ } \\[1 em]x &= \frac{-5}{-20}&& \\[1 em]x &= \frac{1}{4}&& \\[1 em] \end{aligned} $$

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