Problem

$-(x-1)=1-x$

Answer

Expert–verified
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Answer

\(\boxed{\text{The solution to the equation is all real numbers}}\)

Steps

Step 1 :Multiply the entire equation by -1 to remove the negative sign from the left side of the equation: \(-1 \times [-(x-1) = 1-x]\) which simplifies to \(x-1 = 1-x\).

Step 2 :Simplify the equation to get \(x = x\).

Step 3 :The equation simplifies to a tautology (True statement), which means that the equation holds true for all values of x.

Step 4 :\(\boxed{\text{The solution to the equation is all real numbers}}\)

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