\(\left[2\left(x-1\right)+6\right]^5=1^5\\ 2\left(x-1\right)+6=1\\ 2\left(x-1\right)=-5\\ x-1=-\dfrac{5}{2}\\ x=-\dfrac{5}{2}+1\\ x=-\dfrac{3}{2}\)
\(\left[2.\left(x-1\right)+6\right]^5=1\)
\(\Rightarrow2\left(x-1\right)+6=1\)
\(\Rightarrow2\left(x-1\right)=-5\)
\(\Rightarrow x-1=-\dfrac{5}{2}\)
\(\Rightarrow x=-\dfrac{3}{2}\)
\(=>2\left(x-1\right)+6=1\)
\(2\left(x-1\right)=-5\)
\(x-1=\dfrac{-5}{2}\)
\(x=\dfrac{-3}{2}\)