No, (x-5)(x+3) is not equivalent to 2x^2-x^2-2x-20+5.
First, let's simplify the expression (x-5)(x+3):
(x-5)(x+3) = x(x+3) - 5(x+3)
= x^2 + 3x - 5x - 15
= x^2 - 2x - 15
On the other hand, let's simplify the given expression: 2x^2 - x^2 - 2x -20 + 5:
2x^2 - x^2 - 2x - 20 + 5 = x^2 - 2x - 15
As we can see, the two simplified expressions, x^2 - 2x - 15, are equivalent. However, the given expression 2x^2 - x^2 - 2x - 20 + 5 is not equivalent to (x-5)(x+3) because it includes additional terms (-20 and +5) which are not present in the simplified expression of (x-5)(x+3).