To solve this equation, we first need to find a common denominator for the fractions on the left side of the equation.

The common denominator for (х^2 + х - 6) and (2х^2 - 5х + 2) is (2х^2 - 5х + 2)(х^2 + х - 6).

After finding the common denominator, the equation becomes:

(3(2х^2 - 5х + 2) - 2(х^2 + х - 6))/((2х^2 - 5х + 2)(х^2 + х - 6)) = х/(2х^2 + 5x - 3)

Expanding the terms:

(6х^2 - 15х + 6 - 2х^2 - 2х + 12)/((2х^2 - 5x + 2)(х^2 + х - 6)) = х/(2х^2 + 5x - 3)

(4х^2 - 17x + 18)/((2х^2 - 5x + 2)(х^2 + х - 6)) = х/(2х^2 + 5x - 3)

Multiplying both sides by ((2х^2 - 5x + 2)(х^2 + х - 6)):

(4х^2 - 17x + 18) = х(2х^2 + 5x - 3)

Simplify the right side:

4x^2 - 17x + 18 = 2x^3 + 5x^2 - 3x

Rearrange the equation to set it equal to zero:

2x^3 + 5x^2 - 3x - 4x^2 + 17x - 18 = 0

Simplify the equation further:

2x^3 + x^2 + 14x - 18 = 0

This is the final equation obtained by simplifying the given expression.