$$ \begin{aligned} \frac{1}{2}(8x+4) &= 6(x+2)&& \text{simplify left and right hand side} \\[1 em]\frac{8x+4}{2} &= 6x+12&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{8x+4}{2} &= 2\cdot6x+2\cdot12&& \text{cancel out the denominators} \\[1 em]8x+4 &= 12x+24&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]8x-12x &= 24-4&& \text{simplify left and right hand side} \\[1 em]-4x &= 20&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{20}{4}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$

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