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

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