2(x+3)(x-2) - (2x+1)(x-3) - 7 = 0
Expanding the terms:
2(x^2 - 2x + 3x - 6) - (2x^2 - 3x + x -3) - 7 = 0
2(x^2 + x - 6) - (2x^2 - 2x - 3) - 7 = 0
2x^2 + 2x - 12 - 2x^2 + 2x + 3 - 7 = 0
5 - 12 - 7 = 0
-14 = 0
Therefore, the given equation does not have a solution.
2(x+3)(x-2) - (2x+1)(x-3) - 7 = 0
Expanding the terms:
2(x^2 - 2x + 3x - 6) - (2x^2 - 3x + x -3) - 7 = 0
2(x^2 + x - 6) - (2x^2 - 2x - 3) - 7 = 0
2x^2 + 2x - 12 - 2x^2 + 2x + 3 - 7 = 0
5 - 12 - 7 = 0
-14 = 0
Therefore, the given equation does not have a solution.