$$ \begin{aligned} x+\frac{2}{3} &= 15&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3x+3\cdot\frac{2}{3} &= 3\cdot15&& \text{cancel out the denominators} \\[1 em]3x+2 &= 45&& \text{ move 2 to the right } \\[1 em]3x &= 45-2&& \\[1 em]3x &= 43&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{43}{3}&& \\[1 em] \end{aligned} $$

This page was created using