$$ \begin{aligned} 2x+6-2x\cdot2+4x+8 &= 0&& \text{simplify left side} \\[1 em]2x+6-4x+4x+8 &= 0&& \\[1 em]2x+6+8 &= 0&& \\[1 em]2x+14 &= 0&& \text{ move the constants to the right } \\[1 em]2x &= -14&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{14}{2}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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