$$ \begin{aligned} \frac{1}{15}x-\frac{4}{5} &= \frac{2}{3}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15 \cdot \frac{1}{15}x-15\cdot\frac{4}{5} &= 15\cdot\frac{2}{3}&& \text{cancel out the denominators} \\[1 em]x-12 &= 10&& \text{ move -12 to the right } \\[1 em]x &= 10+12&& \\[1 em]x &= 22&& \\[1 em]x &= 22&& \\[1 em] \end{aligned} $$

This page was created using