$$ \begin{aligned} \frac{1}{2}x-3x &= \frac{5}{2}x&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x-2\cdot3x &= 2 \cdot \frac{5}{2}x&& \text{cancel out the denominators} \\[1 em]x-6x &= 5x&& \text{simplify left side} \\[1 em]-5x &= 5x&& \text{move the $ \color{blue}{ 5x } $ to the left side} \\[1 em]-5x-5x &= 0&& \text{simplify left side} \\[1 em]-10x &= 0&& \text{ divide both sides by $ -10 $ } \\[1 em]x &= \frac{0}{-10}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

This page was created using