$$\frac{2}{3}x-\frac{1}{4}x = \frac{1}{2}$$

$$ \begin{aligned} \frac{2}{3}x-\frac{1}{4}x &= \frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{2}{3}x-12\frac{1}{4}x &= 12\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]8x-3x &= 6&& \text{simplify left side} \\[1 em]5x &= 6&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{6}{5}&& \\[1 em] \end{aligned} $$

This page was created using