(Х-3)(3х+2)=(5х-4)(3х-2)

Expanding the left side:
(Х-3)(3х+2) = 3х^2 + 2x - 9x - 6 = 3х^2 - 7x - 6

Expanding the right side:
(5х-4)(3х-2) = 15х^2 - 10х - 12х + 8 = 15х^2 - 22x + 8

Setting the two sides equal to each other:
3х^2 - 7x - 6 = 15х^2 - 22x + 8

Combining like terms:
3x^2 - 7x - 6 = 15x^2 - 22x + 8
-12x^2 + 15x^2 - 7x + 22x - 6 - 8 = 0
3x^2 - 29x - 14 = 0

This is the simplified equation.