\(4x+3⋮x+2\\ \Rightarrow4\left(x+2\right)-5⋮x+2\\ mà:4\left(x+2\right)⋮x+2\\ \Rightarrow-5⋮x+2\\ \Rightarrow x+2\inƯ\left(-5\right)\\ \Rightarrow x+2\in\left\{-5;-1;1;5\right\}\\ \Rightarrow x\in\left\{-7;-3;-1;3\right\}\)
Vậy \(x\in\left\{-7;-3;-1;3\right\}\)