$$ \begin{aligned} \frac{c+2}{6} &= \frac{6}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{c+2}{6} &= 12\cdot\frac{6}{4}&& \text{cancel out the denominators} \\[1 em]2c+4 &= 18&& \text{ move 4 to the right } \\[1 em]2c &= 18-4&& \\[1 em]2c &= 14&& \text{ divide both sides by $ 2 $ } \\[1 em]c &= \frac{14}{2}&& \\[1 em]c &= 7&& \\[1 em] \end{aligned} $$

This page was created using