$$ \begin{aligned} \frac{3x+4}{2} &= 10&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{3x+4}{2} &= 2\cdot10&& \text{cancel out the denominators} \\[1 em]3x+4 &= 20&& \text{ move 4 to the right } \\[1 em]3x &= 20-4&& \\[1 em]3x &= 16&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{16}{3}&& \\[1 em] \end{aligned} $$

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