$$ \begin{aligned} 9-\frac{24}{8}x\cdot2+3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot9-8 \cdot \frac{24}{8}x\cdot2+8\cdot3 &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]72-48x+24 &= 0&& \text{simplify left side} \\[1 em]-48x+96 &= 0&& \text{ move the constants to the right } \\[1 em]-48x &= -96&& \text{ divide both sides by $ -48 $ } \\[1 em]x &= \frac{-96}{-48}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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