$$ \begin{aligned} \frac{2}{3}x+2 &= 6&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot2 &= 3\cdot6&& \text{cancel out the denominators} \\[1 em]2x+6 &= 18&& \text{ move 6 to the right } \\[1 em]2x &= 18-6&& \\[1 em]2x &= 12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{12}{2}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

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