$$ \begin{aligned} \frac{1}{2}x+23\frac{x}{2} &= 350&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x+2\cdot23\frac{x}{2} &= 2\cdot350&& \text{cancel out the denominators} \\[1 em]x+23x &= 700&& \text{simplify left side} \\[1 em]24x &= 700&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{700}{24}&& \\[1 em]x &= \frac{175}{6}&& \\[1 em] \end{aligned} $$

This page was created using