$$ \begin{aligned} \frac{x}{10}-\frac{x}{25} &= 6&& \text{multiply ALL terms by } \color{blue}{ 50 }. \\[1 em]50 \cdot \frac{x}{10}-50\frac{x}{25} &= 50\cdot6&& \text{cancel out the denominators} \\[1 em]5x-2x &= 300&& \text{simplify left side} \\[1 em]3x &= 300&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{300}{3}&& \\[1 em]x &= 100&& \\[1 em] \end{aligned} $$

This page was created using