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

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