To solve this equation, we need to simplify both sides first:

2x^2 + 3x - 3 = x^2 - 3x - 2 + x^2

Combine like terms on the right side:

2x^2 + 3x - 3 = 2x^2 - 3x - 2

Now, subtract 2x^2 from both sides to get the x terms together:

3x - 3 = -3x - 2

Add 3x to both sides:

6x - 3 = -2

Add 3 to both sides:

6x = 1

Divide by 6:

x = 1/6

Therefore, the solution to the equation is x = 1/6.