$Ta_{}$ $có_{}$ $x+7_{} ⋮$ $2x+3_{}$
$⇒2x+14 ⋮2x+3_{}$
$⇒(2x+3)+11 ⋮2x+3_{}$
$⇒11 ⋮2x+3_{}$
$⇒2x+3_{}∈Ư(11)$
mà $Ư(11)=_{}$ $±1_{}$ $và_{}$ $±11_{}$
$Nếu_{}$ $2x+3=1_{}⇔x=-1$
$Nếu_{}$ $2x+3=-1_{}⇔x=-2$
$Nếu_{}$ $2x+3=11_{}⇔x=4$
$Nếu_{}$ $2x+3=-11_{}⇔x=-7$
$Vậy_{}$ $x∈-1;-2;4;-7_{}$
#nguyencuong18082006
$Good_{}$ $luck_{}$