\(1,x-\left\{x-\left[x-\left(x-1\right)\right]\right\}=1\)
\(\Leftrightarrow x-\left\{x-x+1\right\}=1\)
\(\Leftrightarrow x-\left\{0+1\right\}=1\)
\(\Leftrightarrow x-1=1\)
\(\Leftrightarrow x=2\)
Vậy x=2
\(2,|x+2|+x-1=5\)
\(\Leftrightarrow|x+2|+x=5+1\)
\(\Leftrightarrow|x+2|+x=6\)
Ta có: \(|x+2|\ge0\)
\(\Leftrightarrow x+2+x=6\)
\(\Leftrightarrow2x+2=6\)
\(\Leftrightarrow2x=4\)
\(\Leftrightarrow x=2\)
Vậy x=2
\(x-\left\{x-\left(x-1\right)\right\}=1\)
\(x-x+\left(x-1\right)=1\)
\(x-1=1\)
\(x=1+1\)
\(x=2\)
Vậy \(x=2\)
\(\left|x+2\right|+x-1=5\)
\(\left|x+2\right|=5+1-x\)
\(\left|x+2\right|=6-x\)
\(\Rightarrow\orbr{\begin{cases}x+2=6-x\\x+2=-6+x\end{cases}\Leftrightarrow\orbr{\begin{cases}x+x=6-2\\x-x=-6-2\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=2\\0=-8\left(v\text{ô}l\text{ý}\right)\end{cases}}}\)
Vậy \(x=2\)
