$$ \begin{aligned} \frac{3}{5}x+22 &= 28&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{3}{5}x+5\cdot22 &= 5\cdot28&& \text{cancel out the denominators} \\[1 em]3x+110 &= 140&& \text{ move 110 to the right } \\[1 em]3x &= 140-110&& \\[1 em]3x &= 30&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{30}{3}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$

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