$$ \begin{aligned} 6x-\frac{2}{3} &= 6&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot6x-3\cdot\frac{2}{3} &= 3\cdot6&& \text{cancel out the denominators} \\[1 em]18x-2 &= 18&& \text{ move -2 to the right } \\[1 em]18x &= 18+2&& \\[1 em]18x &= 20&& \text{ divide both sides by $ 18 $ } \\[1 em]x &= \frac{20}{18}&& \\[1 em]x &= \frac{10}{9}&& \\[1 em] \end{aligned} $$

This page was created using