$$ \begin{aligned} x+\frac{2}{3} &= 5&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3x+3\cdot\frac{2}{3} &= 3\cdot5&& \text{cancel out the denominators} \\[1 em]3x+2 &= 15&& \text{ move 2 to the right } \\[1 em]3x &= 15-2&& \\[1 em]3x &= 13&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{13}{3}&& \\[1 em] \end{aligned} $$

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