$$ \begin{aligned} \frac{3x+4}{2} &= 3 \cdot \frac{x}{5}+4&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{3x+4}{2} &= 10\cdot3 \cdot \frac{x}{5}+10\cdot4&& \text{cancel out the denominators} \\[1 em]15x+20 &= 6x+40&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 20 }$ to the right} \\[1 em]15x-6x &= 40-20&& \text{simplify left and right hand side} \\[1 em]9x &= 20&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{20}{9}&& \\[1 em] \end{aligned} $$

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