Solve for x to determine if the equation has one, none, or infinite solutions.
6(2x+4)−24=12x
(1 point)
Responses
The equation has infinite solutions.
The equation has one solution: x=0.
The equation has no solution.
The equation has one solution: x=−20.
To solve the equation, first distribute the 6 to the terms inside the parentheses:
12x + 24 - 24 = 12x
Simplify by canceling out the like terms:
12x = 12x
Since 12x is equal to 12x regardless of the value of x, this equation has infinite solutions.
Therefore, the correct response is:
The equation has infinite solutions.