$$ \begin{aligned} 6-2x &= 6x-10x+10&& \text{simplify left and right hand side} \\[1 em]-2x+6 &= -4x+10&& \text{move the $ \color{blue}{ -4x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]-2x+4x &= 10-6&& \text{simplify left and right hand side} \\[1 em]2x &= 4&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{4}{2}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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