$$ \begin{aligned} 2 &= \frac{2}{3}(4x+12)&& \text{simplify right side} \\[1 em]2 &= \frac{8x+24}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2 &= 3 \cdot \frac{8x+24}{3}&& \text{cancel out the denominators} \\[1 em]6 &= 8x+24&& \text{ swap the left and right side of the equation } \\[1 em]8x+24 &= 6&& \text{ move 24 to the right } \\[1 em]8x &= 6-24&& \\[1 em]8x &= -18&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{18}{8}&& \\[1 em]x &= -\frac{9}{4}&& \\[1 em] \end{aligned} $$

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