$$ \begin{aligned} \frac{x}{5} &= x-28&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{x}{5} &= 5x-5\cdot28&& \text{cancel out the denominators} \\[1 em]x &= 5x-140&& \text{move the $ \color{blue}{ 5x } $ to the left side} \\[1 em]x-5x &= -140&& \text{simplify left side} \\[1 em]-4x &= -140&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-140}{-4}&& \\[1 em]x &= 35&& \\[1 em] \end{aligned} $$

This page was created using