$$3 \cdot \frac{x}{4}-2 = \frac{5}{2}$$

$$ \begin{aligned} 3 \cdot \frac{x}{4}-2 &= \frac{5}{2}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot3 \cdot \frac{x}{4}-4\cdot2 &= 4\cdot\frac{5}{2}&& \text{cancel out the denominators} \\[1 em]3x-8 &= 10&& \text{ move -8 to the right } \\[1 em]3x &= 10+8&& \\[1 em]3x &= 18&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{18}{3}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

This page was created using