$$ \begin{aligned} x-\frac{4}{8} &= \frac{41}{4}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8x-8\cdot\frac{4}{8} &= 8\cdot\frac{41}{4}&& \text{cancel out the denominators} \\[1 em]8x-4 &= 82&& \text{ move -4 to the right } \\[1 em]8x &= 82+4&& \\[1 em]8x &= 86&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{86}{8}&& \\[1 em]x &= \frac{43}{4}&& \\[1 em] \end{aligned} $$

This page was created using