$$ \begin{aligned} \frac{2}{5}(2x+3) &= 2\cdot(1-2x)+4&& \text{simplify left and right hand side} \\[1 em]\frac{4x+6}{5} &= 2-4x+4&& \\[1 em]\frac{4x+6}{5} &= -4x+6&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{4x+6}{5} &= 5\cdot-4x+5\cdot6&& \text{cancel out the denominators} \\[1 em]4x+6 &= -20x+30&& \text{move the $ \color{blue}{ -20x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]4x+20x &= 30-6&& \text{simplify left and right hand side} \\[1 em]24x &= 24&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{24}{24}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$

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