show how many solutions dose the equation have

Question

8 + 2 (x - 6) = -2 + 2x - 2

Answer 1

To solve the equation, we first simplify both sides.

8 + 2(x - 6) = -2 + 2x - 2
8 + 2x - 12 = -4 + 2x
2x - 4 = 2x - 4

Next, we will subtract 2x from both sides:

2x - 2x - 4 = 2x - 2x - 4
-4 = -4

Since the left side of the equation (-4) is equal to the right side of the equation (-4), that means that the equation is always true regardless of the value of x.

Therefore, this equation has infinite solutions.