$$ \begin{aligned} \frac{x+3}{x-9} &= 2&& \text{multiply ALL terms by } \color{blue}{ x-9 }. \\[1 em](x-9)\frac{x+3}{x-9} &= (x-9)\cdot2&& \text{cancel out the denominators} \\[1 em]x+3 &= 2x-18&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]x-2x &= -18-3&& \text{simplify left and right hand side} \\[1 em]-x &= -21&& \text{switch signs on both sides} \\[1 em]x &= 21&& \\[1 em] \end{aligned} $$

This page was created using