x 2 −5x−11=−7x−3

Sure, let's solve the equation step by step:

1. First, let's simplify the equation by bringing all terms to one side. We can add 7x to both sides and add 3 to both sides to get:

   x^2 - 5x + 7x - 11 + 3 = 0

2. Simplify the equation further:

   x^2 + 2x - 8 = 0

3. Now, we can factor the quadratic equation:

   (x - 2)(x + 4) = 0

4. Set each factor equal to zero and solve for x:

   x - 2 = 0 => x = 2

   x + 4 = 0 => x = -4

So, the solutions to the equation x^2 - 5x - 11 = -7x - 3 are x = 2 and x = -4.