given

(x+2) (x-5) (x+4) = (x-2) (x-3) (x+6)

x³+4x²-5x²-20x+2x²+8x-10x-40 = x³+6x²-3x²-18x-2x²-12x+6x+36

x²-22x-40 = x²-24x+36

4x = 76

x = 19

hence the given equation has only one solution.