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