Let's simplify the equation step by step:

5x - $3+2x-2x^2$ = 2x - 7x + 11

First, distribute the negative sign inside the parentheses:

5x - 3 - 2x + 2x² = 2x - 7x + 11

Combine like terms:

5x - 3 - 2x + 2x² = -5x + 11

Combine x terms:

3x - 3 + 2x² = -5x + 11

Rearrange the terms:

2x² + 3x + 3 = -5x + 11

Now, simplify further:

2x² + 3x + 3 = -5x + 11

Rearrange the equation to have all terms on one side:

2x² + 3x + 5x - 11 + 3 = 0

Combine like terms:

2x² + 8x - 8 = 0

This is the simplified form of the equation.