$$ \begin{aligned} \frac{2}{3}x+1 &= -5&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot1 &= 3\cdot(-5)&& \text{cancel out the denominators} \\[1 em]2x+3 &= -15&& \text{ move 3 to the right } \\[1 em]2x &= -15-3&& \\[1 em]2x &= -18&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{18}{2}&& \\[1 em]x &= -9&& \\[1 em] \end{aligned} $$

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