$$ \begin{aligned} x-2 &= -4x+2(x-6)&& \text{simplify right side} \\[1 em]x-2 &= -4x+2x-12&& \\[1 em]x-2 &= -2x-12&& \text{move the $ \color{blue}{ -2x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]x+2x &= -12+2&& \text{simplify left and right hand side} \\[1 em]3x &= -10&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{10}{3}&& \\[1 em] \end{aligned} $$

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