Hi I was having some problem with this question, its been a while since I had been in geometry. I think you foil, but Im not sure.

Solve for X.
2(x+4)(x+3)= 3(x+2)(x-1)

you are correct:

2(x+4)(x+3)= 3(x+2)(x-1)
2(x^2+7x+12) = 3(x^2+x-2)
2x^2+14x+24 = 3x^2+3x-6
x^2-11x-30 = 0

Now use the quadratic formula.