$$ \begin{aligned} \frac{2}{3}x+5 &= 3&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot5 &= 3\cdot3&& \text{cancel out the denominators} \\[1 em]2x+15 &= 9&& \text{ move 15 to the right } \\[1 em]2x &= 9-15&& \\[1 em]2x &= -6&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{6}{2}&& \\[1 em]x &= -3&& \\[1 em] \end{aligned} $$

This page was created using