Question
$$2x-1 = x-1$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} 2x-1 &= x-1&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]2x-x &= -1+1&& \text{simplify left and right hand side} \\[1 em]x &= 0&& \text{ divide both sides by $ 1 $ } \\[1 em]x &= \frac{0}{1}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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