$$ \begin{aligned} \frac{55}{9}x+\frac{10}{3}x &= \frac{85}{3}&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9 \cdot \frac{55}{9}x+9\frac{10}{3}x &= 9\cdot\frac{85}{3}&& \text{cancel out the denominators} \\[1 em]55x+30x &= 255&& \text{simplify left side} \\[1 em]85x &= 255&& \text{ divide both sides by $ 85 $ } \\[1 em]x &= \frac{255}{85}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

This page was created using