$$\frac{1}{3}(2x+3) = 3$$

$$ \begin{aligned} \frac{1}{3}(2x+3) &= 3&& \text{simplify left side} \\[1 em]\frac{2x+3}{3} &= 3&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2x+3}{3} &= 3\cdot3&& \text{cancel out the denominators} \\[1 em]2x+3 &= 9&& \text{ move 3 to the right } \\[1 em]2x &= 9-3&& \\[1 em]2x &= 6&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{6}{2}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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