$$ \begin{aligned} \frac{3x+5}{2} &= 11&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{3x+5}{2} &= 2\cdot11&& \text{cancel out the denominators} \\[1 em]3x+5 &= 22&& \text{ move 5 to the right } \\[1 em]3x &= 22-5&& \\[1 em]3x &= 17&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{17}{3}&& \\[1 em] \end{aligned} $$

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