$$ \begin{aligned} -2(3x-4) &= 2(x+6)&& \text{simplify left and right hand side} \\[1 em]-(6x-8) &= 2x+12&& \\[1 em]-6x+8 &= 2x+12&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]-6x-2x &= 12-8&& \text{simplify left and right hand side} \\[1 em]-8x &= 4&& \text{ divide both sides by $ -8 $ } \\[1 em]x &= -\frac{4}{8}&& \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$

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