To solve this equation, we need to simplify and then solve for x.

6(x+1) + 2(x-1) - 2(x+1) = 32
Expand each term:
6x + 6 + 2x - 2 - 2x - 2 = 32
Combine like terms:
6x + 2x - 2x + 6 - 2 - 2 = 32
6x + 6 - 2 = 32
6x + 4 = 32
Subtract 4 from both sides:
6x = 28
Divide by 6:
x = 28/6
x = 4.67 or approximately 4.67

Therefore, the solution to the equation 6(x+1) + 2(x-1) - 2(x+1) = 32 is x = 4.67 (or approximately 4.67).