$$ \begin{aligned} 14 &= \frac{3}{2}(x+2)&& \text{simplify right side} \\[1 em]14 &= \frac{3x+6}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot14 &= 2 \cdot \frac{3x+6}{2}&& \text{cancel out the denominators} \\[1 em]28 &= 3x+6&& \text{ swap the left and right side of the equation } \\[1 em]3x+6 &= 28&& \text{ move 6 to the right } \\[1 em]3x &= 28-6&& \\[1 em]3x &= 22&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{22}{3}&& \\[1 em] \end{aligned} $$

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