$$ \begin{aligned} x\cdot2-5x+6 &= x-2&& \text{simplify left side} \\[1 em]x\cdot2-5x+6 &= x-2&& \\[1 em]-3x+6 &= x-2&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]-3x-x &= -2-6&& \text{simplify left and right hand side} \\[1 em]-4x &= -8&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-8}{-4}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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