$$ \begin{aligned} -2x+10 &= -4x+12&& \text{move the $ \color{blue}{ -4x } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]-2x+4x &= 12-10&& \text{simplify left and right hand side} \\[1 em]2x &= 2&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{2}{2}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$
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