$$ \begin{aligned} x+\frac{5}{19} &= 6&& \text{multiply ALL terms by } \color{blue}{ 19 }. \\[1 em]19x+19\cdot\frac{5}{19} &= 19\cdot6&& \text{cancel out the denominators} \\[1 em]19x+5 &= 114&& \text{ move 5 to the right } \\[1 em]19x &= 114-5&& \\[1 em]19x &= 109&& \text{ divide both sides by $ 19 $ } \\[1 em]x &= \frac{109}{19}&& \\[1 em] \end{aligned} $$

This page was created using