$$ \begin{aligned} \frac{7}{3}(x+\frac{9}{28}) &= 20&& \text{simplify left side} \\[1 em]\frac{7}{3}\frac{28x+9}{28} &= 20&& \\[1 em]\frac{196x+63}{84} &= 20&& \text{multiply ALL terms by } \color{blue}{ 84 }. \\[1 em]84 \cdot \frac{196x+63}{84} &= 84\cdot20&& \text{cancel out the denominators} \\[1 em]196x+63 &= 1680&& \text{ move 63 to the right } \\[1 em]196x &= 1680-63&& \\[1 em]196x &= 1617&& \text{ divide both sides by $ 196 $ } \\[1 em]x &= \frac{1617}{196}&& \\[1 em]x &= \frac{33}{4}&& \\[1 em] \end{aligned} $$

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