$$ \begin{aligned} 4x+8 &= \frac{72}{10}+5x&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot4x+10\cdot8 &= 10\cdot\frac{72}{10}+10\cdot5x&& \text{cancel out the denominators} \\[1 em]40x+80 &= 72+50x&& \text{move the $ \color{blue}{ 50x } $ to the left side and $ \color{blue}{ 80 }$ to the right} \\[1 em]40x-50x &= 72-80&& \text{simplify left and right hand side} \\[1 em]-10x &= -8&& \text{ divide both sides by $ -10 $ } \\[1 em]x &= \frac{-8}{-10}&& \\[1 em]x &= \frac{4}{5}&& \\[1 em] \end{aligned} $$

This page was created using