$$ \begin{aligned} 5 \cdot \frac{b+5}{2} &= 4b-\frac{22}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot5 \cdot \frac{b+5}{2} &= 4\cdot4b-4\cdot\frac{22}{4}&& \text{cancel out the denominators} \\[1 em]10b+50 &= 16b-22&& \text{move the $ \color{blue}{ 16b } $ to the left side and $ \color{blue}{ 50 }$ to the right} \\[1 em]10b-16b &= -22-50&& \text{simplify left and right hand side} \\[1 em]-6b &= -72&& \text{ divide both sides by $ -6 $ } \\[1 em]b &= \frac{-72}{-6}&& \\[1 em]b &= 12&& \\[1 em] \end{aligned} $$

This page was created using