\(2x+1=\left(-7\right)+\left(+2\right)\)
\(\Rightarrow2x+1=-7+2\)
\(\Rightarrow2x+1=-\left(7-2\right)\)
\(\Rightarrow2x+1=-5\)
\(\Rightarrow2x=-5-1\)
\(\Rightarrow2x=-\left(5+1\right)\)
\(\Rightarrow2x=-6\)
\(\Rightarrow x=-6:2\)
\(\Rightarrow x=-3\)
Vậy \(x=-3\)