Solve for x to determine if the equation has one, none, or infinite solutions.
6(2x+4)−24=12x
To solve this equation, we first need to distribute the 6 on the left side:
12x + 24 - 24 = 12x
Now simplify:
12x = 12x
This equation is an identity, meaning that it is true for any real number x. Therefore, this equation has infinite solutions.