$$ \begin{aligned} \frac{12}{6}x\cdot2+4-3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{12}{6}x\cdot2+6\cdot4-6\cdot3 &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]24x+24-18 &= 0&& \text{simplify left side} \\[1 em]24x+6 &= 0&& \text{ move the constants to the right } \\[1 em]24x &= -6&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= -\frac{6}{24}&& \\[1 em]x &= -\frac{1}{4}&& \\[1 em] \end{aligned} $$

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