$$ \begin{aligned} \frac{2}{3}x+5 &= \frac{7}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot5 &= 3\cdot\frac{7}{3}&& \text{cancel out the denominators} \\[1 em]2x+15 &= 7&& \text{ move 15 to the right } \\[1 em]2x &= 7-15&& \\[1 em]2x &= -8&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{8}{2}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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