$$ \begin{aligned} x-\frac{3}{4} &= 6&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4x-4\cdot\frac{3}{4} &= 4\cdot6&& \text{cancel out the denominators} \\[1 em]4x-3 &= 24&& \text{ move -3 to the right } \\[1 em]4x &= 24+3&& \\[1 em]4x &= 27&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{27}{4}&& \\[1 em] \end{aligned} $$

This page was created using