$$ \begin{aligned} \frac{2}{3}-2p &= 5+\frac{4}{3}p&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot\frac{2}{3}-3\cdot2p &= 3\cdot5+3 \cdot \frac{4}{3}p&& \text{cancel out the denominators} \\[1 em]2-6p &= 15+4p&& \text{move the $ \color{blue}{ 4p } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]-6p-4p &= 15-2&& \text{simplify left and right hand side} \\[1 em]-10p &= 13&& \text{ divide both sides by $ -10 $ } \\[1 em]p &= -\frac{13}{10}&& \\[1 em] \end{aligned} $$

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