$$ \begin{aligned} 8(\frac{x}{4}-8) &= 68&& \text{simplify left side} \\[1 em]8 \cdot \frac{x-32}{4} &= 68&& \\[1 em]\frac{8x-256}{4} &= 68&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{8x-256}{4} &= 4\cdot68&& \text{cancel out the denominators} \\[1 em]8x-256 &= 272&& \text{ move -256 to the right } \\[1 em]8x &= 272+256&& \\[1 em]8x &= 528&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{528}{8}&& \\[1 em]x &= 66&& \\[1 em] \end{aligned} $$

This page was created using