$$ \begin{aligned} x\cdot9+\frac{3}{2}x\cdot8 &= 4381&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2x\cdot9+2 \cdot \frac{3}{2}x\cdot8 &= 2\cdot4381&& \text{cancel out the denominators} \\[1 em]18x+24x &= 8762&& \text{simplify left side} \\[1 em]42x &= 8762&& \text{ divide both sides by $ 42 $ } \\[1 em]x &= \frac{8762}{42}&& \\[1 em]x &= \frac{4381}{21}&& \\[1 em] \end{aligned} $$

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