How many solutions does the equation below have?
8+2(x-6)=-2+2x-2
The equation is already simplified and looks like this:
8 + 2(x - 6) = -2 + 2x - 2
Let's solve it step by step:
1. Distribute the 2 on the left side:
8 + 2x - 12 = -2 + 2x - 2
2. Combine like terms:
2x - 4 = 2x - 4
As you can see, this equation simplifies to 0 = 0, or essentially 0 = 0. This means that the equation is always true for any value of x.
Therefore, this equation has infinite solutions.