$$ \begin{aligned} 2 \cdot \frac{x}{3}-2 &= 4&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2 \cdot \frac{x}{3}-3\cdot2 &= 3\cdot4&& \text{cancel out the denominators} \\[1 em]2x-6 &= 12&& \text{ move -6 to the right } \\[1 em]2x &= 12+6&& \\[1 em]2x &= 18&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{18}{2}&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$
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