\(\left(3x+2\right)\left(2x+9\right)-\left(x+2\right)\left(6x+1\right)=\left(x+1\right)-\left(x-6\right)\)
\(\Rightarrow\left(6x^2+27x+4x+18\right)-\left(6x^2+x+12x+2\right)=x+1-x-6\)
\(\Rightarrow6x^2+27x+4x+18-6x^2-x-12x-2=1-6\)
\(\Rightarrow6x^2+27x+4x+18-6x^2-x-12x-2-1+6=0\)
\(\Rightarrow\left(6x^2-6x^2\right)+\left(27x+4x-x-12x\right)+\left(18-2-1+6\right)=0\)
\(\Rightarrow18x+21=0\Rightarrow18x=-21\)
\(\Rightarrow x=\dfrac{-7}{6}\)
Vậy \(x=\dfrac{-7}{6}\)
Chúc bạn học tốt!!!