$$ \begin{aligned} -2(7x-3(x-2)) &= 2-x&& \text{simplify left and right hand side} \\[1 em]-2(7x-(3x-6)) &= -x+2&& \\[1 em]-2(7x-3x+6) &= -x+2&& \\[1 em]-2(4x+6) &= -x+2&& \\[1 em]-(8x+12) &= -x+2&& \\[1 em]-8x-12 &= -x+2&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ -12 }$ to the right} \\[1 em]-8x+x &= 2+12&& \text{simplify left and right hand side} \\[1 em]-7x &= 14&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= -\frac{14}{7}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$

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