$$\frac{x}{3}-\frac{5}{2} = 6$$

$$ \begin{aligned} \frac{x}{3}-\frac{5}{2} &= 6&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{x}{3}-6\cdot\frac{5}{2} &= 6\cdot6&& \text{cancel out the denominators} \\[1 em]2x-15 &= 36&& \text{ move -15 to the right } \\[1 em]2x &= 36+15&& \\[1 em]2x &= 51&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{51}{2}&& \\[1 em] \end{aligned} $$

This page was created using