$$ \begin{aligned} 8 &= \frac{1}{2}(3x+10)&& \text{simplify right side} \\[1 em]8 &= \frac{3x+10}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot8 &= 2 \cdot \frac{3x+10}{2}&& \text{cancel out the denominators} \\[1 em]16 &= 3x+10&& \text{ swap the left and right side of the equation } \\[1 em]3x+10 &= 16&& \text{ move 10 to the right } \\[1 em]3x &= 16-10&& \\[1 em]3x &= 6&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{6}{3}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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