$$ \begin{aligned} 14-2x\cdot\frac{4}{6} &= 8&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot14-62x\cdot\frac{4}{6} &= 6\cdot8&& \text{cancel out the denominators} \\[1 em]84-8x &= 48&& \text{ move 84 to the right } \\[1 em]-8x &= 48-84&& \\[1 em]-8x &= -36&& \text{ divide both sides by $ -8 $ } \\[1 em]x &= \frac{-36}{-8}&& \\[1 em]x &= \frac{9}{2}&& \\[1 em] \end{aligned} $$

This page was created using