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 infinite solutions.
The equation has infinite solutions.

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

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

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

Answer 1

To solve for x, we first distribute the 3 on the left side of the equation:

3x + 6 - 6 = 3x

Now we simplify by combining like terms:

3x = 3x

Since the variables are the same on both sides of the equation and equal to each other, this equation has infinite solutions.

Answer 2

so what is the answer

Answer 3

The answer is that the equation has infinite solutions.