$$ \begin{aligned} \frac{5}{2}x+\frac{1}{2}x &= 7+\frac{7}{2}x&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{5}{2}x+2\frac{1}{2}x &= 2\cdot7+2 \cdot \frac{7}{2}x&& \text{cancel out the denominators} \\[1 em]5x+x &= 14+7x&& \text{simplify left and right hand side} \\[1 em]6x &= 7x+14&& \text{move the $ \color{blue}{ 7x } $ to the left side} \\[1 em]6x-7x &= 14&& \text{simplify left side} \\[1 em]-x &= 14&& \text{switch signs on both sides} \\[1 em]x &= -14&& \\[1 em] \end{aligned} $$

This page was created using