$$ \begin{aligned} \frac{42}{3}+\frac{11}{6}-\frac{21}{8} &= x&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24\cdot\frac{42}{3}+24\cdot\frac{11}{6}-24\cdot\frac{21}{8} &= 24x&& \text{cancel out the denominators} \\[1 em]336+44-63 &= 24x&& \text{simplify left side} \\[1 em]317 &= 24x&& \text{ swap the left and right side of the equation } \\[1 em]24x &= 317&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{317}{24}&& \\[1 em] \end{aligned} $$

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