Solve for x to determine if the equation has one, none, or infinite solutions.

Question

3(x+2)−6=3x(1 point)
Responses

The equation has one solution: x=3.
The equation has one solution: x equals 3 .

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=−3.

Answer 1

The equation has no solution.

3(x+2) - 6 = 3x
3x + 6 - 6 = 3x
3x = 3x

Since the variables cancel out and we are left with a false statement, there is no value for x that will make the equation true, thus there are no solutions.