Let's simplify the equation step by step:

5•(3-2x) - 4•(9-x) = 3•(x+5)

First, distribute the coefficients:
15 - 10x - 36 + 4x = 3x + 15

Combine like terms:
-10x + 4x = -6x
15 - 36 = -21

Substitute the simplified terms back into the equation:
-6x - 21 = 3x + 15

Add 6x to both sides:
-21 = 9x + 15

Subtract 15 from both sides:
-36 = 9x

Divide by 9 to solve for x:
x = -4

Therefore, the solution to the equation 5•(3-2x) - 4•(9-x) = 3•(x+5) is x = -4.