$$ \begin{aligned} \frac{1}{3}(8x+6) &= 14&& \text{simplify left side} \\[1 em]\frac{8x+6}{3} &= 14&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{8x+6}{3} &= 3\cdot14&& \text{cancel out the denominators} \\[1 em]8x+6 &= 42&& \text{ move 6 to the right } \\[1 em]8x &= 42-6&& \\[1 em]8x &= 36&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{36}{8}&& \\[1 em]x &= \frac{9}{2}&& \\[1 em] \end{aligned} $$

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