$$ \begin{aligned} -\frac{3}{2}x+4 &= 10&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]-2 \cdot \frac{3}{2}x+2\cdot4 &= 2\cdot10&& \text{cancel out the denominators} \\[1 em]-3x+8 &= 20&& \text{ move 8 to the right } \\[1 em]-3x &= 20-8&& \\[1 em]-3x &= 12&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{12}{3}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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