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

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