$$ \begin{aligned} \frac{3}{4}(2x+5) &= 6&& \text{simplify left side} \\[1 em]\frac{6x+15}{4} &= 6&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{6x+15}{4} &= 4\cdot6&& \text{cancel out the denominators} \\[1 em]6x+15 &= 24&& \text{ move 15 to the right } \\[1 em]6x &= 24-15&& \\[1 em]6x &= 9&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{9}{6}&& \\[1 em]x &= \frac{3}{2}&& \\[1 em] \end{aligned} $$

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