$$ \begin{aligned} 8(x+3) &= \frac{8}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot8(x+3) &= 3\cdot\frac{8}{3}&& \text{cancel out the denominators} \\[1 em]24x+72 &= 8&& \text{ move 72 to the right } \\[1 em]24x &= 8-72&& \\[1 em]24x &= -64&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= -\frac{64}{24}&& \\[1 em]x &= -\frac{8}{3}&& \\[1 em] \end{aligned} $$
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