To solve this equation, first distribute the numbers outside of the parentheses:

3(x-5) = 5(x-3) - 4(2-3x)

3x - 15 = 5x - 15 - 8 + 12x

Now simplify the equation by combining like terms:

3x - 15 = 5x - 15 - 8 + 12x
3x - 15 = 5x - 23 + 12x
3x - 15 = 17x - 23

Now, isolate x by moving the terms with x to one side of the equation:

3x - 15 = 17x - 23
-20x = -8

Divide by -20 to solve for x:

x = -8 / -20
x = 0.4

Therefore, the solution to the equation is x = 0.4.