\(2\left(x+1\right)-1=3\\ 2\left(x+1\right)=4\\ x+1=2\\ x=1\)
\(2\left(x+1\right)-1=3\)
\(2\left(x+1\right)=3+1\)
\(2\left(x+1\right)=4\)
\(x+1=4:2\)
\(x+1=2\)
\(x=2-1\)
\(x=1\)
\(2\left(x+1\right)-1=3\)
\(2x+2-1=3\)
\(2x=3+1-2=2\)
\(x=2:2\)
\(x=1\)