$$ \begin{aligned} x+\frac{x}{18}+3 &= 22&& \text{multiply ALL terms by } \color{blue}{ 18 }. \\[1 em]18x+18 \cdot \frac{x}{18}+18\cdot3 &= 18\cdot22&& \text{cancel out the denominators} \\[1 em]18x+x+54 &= 396&& \text{simplify left side} \\[1 em]19x+54 &= 396&& \text{ move 54 to the right } \\[1 em]19x &= 396-54&& \\[1 em]19x &= 342&& \text{ divide both sides by $ 19 $ } \\[1 em]x &= \frac{342}{19}&& \\[1 em]x &= 18&& \\[1 em] \end{aligned} $$

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