Dragonfly

Solve for x: 5/x+6+2/x^2+7x+6=3/x+1 5/x+5+2/(x+6)(x+1)=3/x+1 5(x+6)(x+1)/x+6+2(x+6)(x+1)/(x+6)(x1)=3(x+6)(x+1)/x+1 5(x+1)+2=3(x+6) 5x+5+2=3x+18 5x+7=3x+18 2x=11 x=11/2 or 5 1/2 is my method correct? and I need assitance checking my answer. Thanks for your...