$$ \begin{aligned} \frac{7}{9}x-\frac{1}{3} &= 2&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9 \cdot \frac{7}{9}x-9\cdot\frac{1}{3} &= 9\cdot2&& \text{cancel out the denominators} \\[1 em]7x-3 &= 18&& \text{ move -3 to the right } \\[1 em]7x &= 18+3&& \\[1 em]7x &= 21&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{21}{7}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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