$$ \begin{aligned} \frac{x}{2}+\frac{3}{8} &= 1&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{x}{2}+8\cdot\frac{3}{8} &= 8\cdot1&& \text{cancel out the denominators} \\[1 em]4x+3 &= 8&& \text{ move 3 to the right } \\[1 em]4x &= 8-3&& \\[1 em]4x &= 5&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{5}{4}&& \\[1 em] \end{aligned} $$

This page was created using