$$ \begin{aligned} 5 \cdot \frac{x}{2}+3 &= 18&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot5 \cdot \frac{x}{2}+2\cdot3 &= 2\cdot18&& \text{cancel out the denominators} \\[1 em]5x+6 &= 36&& \text{ move 6 to the right } \\[1 em]5x &= 36-6&& \\[1 em]5x &= 30&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{30}{5}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

This page was created using