5(x-2) - 6(x-3) - 3*(2x-9)

Expanding the expression:

5x - 10 - 6x + 18 - 6x + 27

Combine like terms:

5x - 6x - 6x - 10 + 18 + 27

-7x + 35

Therefore, 5(x-2) - 6(x-3) - 3*(2x-9) simplifies to -7x + 35.