$$ \begin{aligned} -\frac{2}{3}+\frac{11}{12}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]-12\cdot\frac{2}{3}+12\frac{11}{12}x &= 12\cdot0&& \text{cancel out the denominators} \\[1 em]-8+11x &= 0&& \text{ move the constants to the right } \\[1 em]11x &= 8&& \text{ divide both sides by $ 11 $ } \\[1 em]x &= \frac{8}{11}&& \\[1 em] \end{aligned} $$

This page was created using