$$ \begin{aligned} \frac{1}{3}(6x-15) &= \frac{3}{4}x-2&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{1}{3}(6x-15) &= 12 \cdot \frac{3}{4}x-12\cdot2&& \text{cancel out the denominators} \\[1 em]24x-60 &= 9x-24&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -60 }$ to the right} \\[1 em]24x-9x &= -24+60&& \text{simplify left and right hand side} \\[1 em]15x &= 36&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= \frac{36}{15}&& \\[1 em]x &= \frac{12}{5}&& \\[1 em] \end{aligned} $$

This page was created using