$$ \begin{aligned} -2 &= -4x+2(x-6)&& \text{simplify right side} \\[1 em]-2 &= -4x+2x-12&& \\[1 em]-2 &= -2x-12&& \text{ swap the left and right side of the equation } \\[1 em]-2x-12 &= -2&& \text{ move -12 to the right } \\[1 em]-2x &= -2+12&& \\[1 em]-2x &= 10&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{10}{2}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$

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