$$ \begin{aligned} -\frac{3}{2}x-\frac{3}{2}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]-2 \cdot \frac{3}{2}x-2\frac{3}{2}x &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]-3x-3x &= 0&& \text{simplify left side} \\[1 em]-6x &= 0&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= \frac{0}{-6}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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