$$ \begin{aligned} 6x\cdot6-\frac{6}{3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]36x\cdot6-3\cdot\frac{6}{3} &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]108x-6 &= 0&& \text{ move the constants to the right } \\[1 em]108x &= 6&& \text{ divide both sides by $ 108 $ } \\[1 em]x &= \frac{6}{108}&& \\[1 em]x &= \frac{1}{18}&& \\[1 em] \end{aligned} $$

This page was created using