$$ \begin{aligned} \frac{11}{2}x+\frac{2}{3}x &= 37&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{11}{2}x+6\frac{2}{3}x &= 6\cdot37&& \text{cancel out the denominators} \\[1 em]33x+4x &= 222&& \text{simplify left side} \\[1 em]37x &= 222&& \text{ divide both sides by $ 37 $ } \\[1 em]x &= \frac{222}{37}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

This page was created using