$$ \begin{aligned} 2 &= \frac{3}{4}(8x+6)&& \text{simplify right side} \\[1 em]2 &= \frac{24x+18}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2 &= 4 \cdot \frac{24x+18}{4}&& \text{cancel out the denominators} \\[1 em]8 &= 24x+18&& \text{ swap the left and right side of the equation } \\[1 em]24x+18 &= 8&& \text{ move 18 to the right } \\[1 em]24x &= 8-18&& \\[1 em]24x &= -10&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= -\frac{10}{24}&& \\[1 em]x &= -\frac{5}{12}&& \\[1 em] \end{aligned} $$

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