$$ \begin{aligned} \frac{11}{3} &= \frac{x}{8}&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24\cdot\frac{11}{3} &= 24 \cdot \frac{x}{8}&& \text{cancel out the denominators} \\[1 em]88 &= 3x&& \text{ swap the left and right side of the equation } \\[1 em]3x &= 88&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{88}{3}&& \\[1 em] \end{aligned} $$
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