$$ \begin{aligned} 2x-\frac{1}{4}x &= 7&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2x-4 \cdot \frac{1}{4}x &= 4\cdot7&& \text{cancel out the denominators} \\[1 em]8x-x &= 28&& \text{simplify left side} \\[1 em]7x &= 28&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{28}{7}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

This page was created using