$$ \begin{aligned} x+\frac{1}{5} &= \frac{11}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5x+5\cdot\frac{1}{5} &= 5\cdot\frac{11}{5}&& \text{cancel out the denominators} \\[1 em]5x+1 &= 11&& \text{ move 1 to the right } \\[1 em]5x &= 11-1&& \\[1 em]5x &= 10&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{10}{5}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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