$$ \begin{aligned} \frac{2}{9}x-4 &= \frac{2}{3}&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9 \cdot \frac{2}{9}x-9\cdot4 &= 9\cdot\frac{2}{3}&& \text{cancel out the denominators} \\[1 em]2x-36 &= 6&& \text{ move -36 to the right } \\[1 em]2x &= 6+36&& \\[1 em]2x &= 42&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{42}{2}&& \\[1 em]x &= 21&& \\[1 em] \end{aligned} $$

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