5x - 1/(x-2)^2 - 3 + 3x/(2-x)^2

5x - 1/(x-2)^2 - 3 + 3x/(2-x)^2

Common denominator of (x-2)^2 and (2-x)^2 is (x-2)^2(2-x)^2

Multiplying the fractions by the respective terms to get common denominators:

= 5x(2-x)^2 - 1 - 3(x-2)^2 + 3x

= 5x(4-4x+x^2) - 1 - 3(x^2-4x+4) + 3x

= 20x - 20x^2 + 5x^3 - 1 - 3x^2 + 12x - 12 + 3x

= 5x^3 - 23x^2 + 32x - 13

So, the simplified expression is 5x^3 - 23x^2 + 32x - 13.