$$ \begin{aligned} \frac{4}{5}15x\cdot20-7x &= \frac{5}{6}(12x-24)\cdot6&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30 \cdot \frac{4}{5}15x\cdot20-30\cdot7x &= 30 \cdot \frac{5}{6}(12x-24)\cdot6&& \text{cancel out the denominators} \\[1 em]7200x-210x &= 1800x-3600&& \text{simplify left side} \\[1 em]6990x &= 1800x-3600&& \text{move the $ \color{blue}{ 1800x } $ to the left side} \\[1 em]6990x-1800x &= -3600&& \text{simplify left side} \\[1 em]5190x &= -3600&& \text{ divide both sides by $ 5190 $ } \\[1 em]x &= -\frac{3600}{5190}&& \\[1 em]x &= -\frac{120}{173}&& \\[1 em] \end{aligned} $$

This page was created using