$$ \begin{aligned} \frac{5}{3}x+2 &= -8&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{5}{3}x+3\cdot2 &= 3\cdot(-8)&& \text{cancel out the denominators} \\[1 em]5x+6 &= -24&& \text{ move 6 to the right } \\[1 em]5x &= -24-6&& \\[1 em]5x &= -30&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{30}{5}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$

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