$$ \begin{aligned} \frac{2}{3}x+4 &= 8&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot4 &= 3\cdot8&& \text{cancel out the denominators} \\[1 em]2x+12 &= 24&& \text{ move 12 to the right } \\[1 em]2x &= 24-12&& \\[1 em]2x &= 12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{12}{2}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

This page was created using