$$ \begin{aligned} -4(x+6)+2(x-2) &= 0&& \text{simplify left side} \\[1 em]-(4x+24)+2x-4 &= 0&& \\[1 em]-4x-24+2x-4 &= 0&& \\[1 em]-2x-28 &= 0&& \text{ move the constants to the right } \\[1 em]-2x &= 28&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{28}{2}&& \\[1 em]x &= -14&& \\[1 em] \end{aligned} $$
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