$$ \begin{aligned} \frac{3}{2} &= 6x-4&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot\frac{3}{2} &= 2\cdot6x-2\cdot4&& \text{cancel out the denominators} \\[1 em]3 &= 12x-8&& \text{ swap the left and right side of the equation } \\[1 em]12x-8 &= 3&& \text{ move -8 to the right } \\[1 em]12x &= 3+8&& \\[1 em]12x &= 11&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{11}{12}&& \\[1 em] \end{aligned} $$

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