Solve for x to determine if the equation has one, none, or infinite solutions.
6(2x+4)−24=12x
(1 point)
The equation has infinite solutions.
The equation has infinite solutions.
The equation has no solution.
The equation has no solution.
The equation has one solution: x=−20.
The equation has one solution: x equals negative 20 .
The equation has one solution: x=0.
To solve the equation, we first distribute the 6 on the left side:
12x + 24 - 24 = 12x
This simplifies to:
12x = 12x
Subtracting 12x from both sides gives us:
0 = 0
Since the statement "0 = 0" is always true, this means the equation has infinite solutions.