$$ \begin{aligned} 11 &= \frac{2}{3}(4x+6)&& \text{simplify right side} \\[1 em]11 &= \frac{8x+12}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot11 &= 3 \cdot \frac{8x+12}{3}&& \text{cancel out the denominators} \\[1 em]33 &= 8x+12&& \text{ swap the left and right side of the equation } \\[1 em]8x+12 &= 33&& \text{ move 12 to the right } \\[1 em]8x &= 33-12&& \\[1 em]8x &= 21&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{21}{8}&& \\[1 em] \end{aligned} $$

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