$$ \begin{aligned} 2(x+7) &= -4x+14&& \text{simplify left side} \\[1 em]2x+14 &= -4x+14&& \text{move the $ \color{blue}{ -4x } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]2x+4x &= 14-14&& \text{simplify left and right hand side} \\[1 em]6x &= 0&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{0}{6}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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