Let's solve the given equation step by step:
(x - 3) - 2 = 6 - 2(x + 11)
First, let's simplify both sides of the equation:
x - 3 - 2 = 6 - 2x - 22
x - 5 = -16 - 2x
Now, let's isolate the x term on one side of the equation:
x + 2x = -16 + 5
3x = -11
To solve for x, we need to divide both sides of the equation by 3:
3x/3 = -11/3
x = -11/3
Therefore, the solution to the equation (x - 3) - 2 = 6 - 2(x + 11) is x = -11/3.