(−5x

2
+6x+6)−(6x
2
−5)

First, perform the subtraction within the parentheses:

(-5x^2 + 6x + 6) - (6x^2 - 5)

= -5x^2 + 6x + 6 - 6x^2 + 5
= -5x^2 - 6x^2 + 6x + 6 + 5
= -11x^2 + 6x + 11

Therefore, the final result is -11x^2 + 6x + 11.