$$ \begin{aligned} \frac{11}{7}+3x &= 2&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7\cdot\frac{11}{7}+7\cdot3x &= 7\cdot2&& \text{cancel out the denominators} \\[1 em]11+21x &= 14&& \text{ move 11 to the right } \\[1 em]21x &= 14-11&& \\[1 em]21x &= 3&& \text{ divide both sides by $ 21 $ } \\[1 em]x &= \frac{3}{21}&& \\[1 em]x &= \frac{1}{7}&& \\[1 em] \end{aligned} $$

This page was created using