\(x-\left\{x-\left[x-\left(-x+1\right)\right]\right\}=1\)
\(\Leftrightarrow x-\left[x-\left(2x-1\right)\right]=1\Leftrightarrow-x+1=1-x\Leftrightarrow0x=0\)
Vậy phương trình có vô số nghiệm
Ta có: \(x-\left\{x-\left[x-\left(-x+1\right)\right]\right\}=1\)
\(\Leftrightarrow x-\left\{x-\left[x+x-1\right]\right\}=1\)
\(\Leftrightarrow x-\left\{x-2x+1\right\}=1\)
\(\Leftrightarrow x-\left\{-x+1\right\}=1\)
\(\Leftrightarrow2x-1=1\)
\(\Leftrightarrow2x=2\)
hay x=1