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 no solution.
The equation has no solution.
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has one solution: x=−20.
The equation has one solution: x equals negative 20 .
The equation has infinite solutions.
To solve the equation 6(2x+4)−24=12x, first distribute the 6 on the left side:
12x + 24 - 24 = 12x
Combine like terms:
12x = 12x
Subtract 12x from both sides:
0 = 0
Since this equation simplifies to 0 = 0, it means that x can be any real number. Therefore, the equation has infinite solutions.