$$ \begin{aligned} \frac{1}{2}-\frac{1}{3}x &= \frac{4}{3}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot\frac{1}{2}-6\frac{1}{3}x &= 6\cdot\frac{4}{3}&& \text{cancel out the denominators} \\[1 em]3-2x &= 8&& \text{ move 3 to the right } \\[1 em]-2x &= 8-3&& \\[1 em]-2x &= 5&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{5}{2}&& \\[1 em] \end{aligned} $$

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