$$ \begin{aligned} \frac{3}{2}(2x+5) &= 6&& \text{simplify left side} \\[1 em]\frac{6x+15}{2} &= 6&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{6x+15}{2} &= 2\cdot6&& \text{cancel out the denominators} \\[1 em]6x+15 &= 12&& \text{ move 15 to the right } \\[1 em]6x &= 12-15&& \\[1 em]6x &= -3&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{3}{6}&& \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$

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