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 one solution: x=−20.
The equation has one solution: x equals negative 20 .

The equation has one solution: x=0.
The equation has one solution: x equals 0 .

The equation has no solution.
The equation has no solution.

The equation has infinite solutions.

6(2x+4)−24=12x

12x+24-24 = 12x
true for all x

In this case, the equation simplifies to 12x = 12x, which is true for all values of x. Therefore, the equation has infinite solutions.

The equation has one solution: x=−20.