Question

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

3(x+2)−6=3x(1 point)
Responses

The equation has infinite solutions.
The equation has infinite solutions.

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

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 .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if the equation has one, none, or infinite solutions, we need to solve for x.

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

The equation simplifies to 0 = 0, which means that the equation has infinite solutions. The value of x does not matter since both sides of the equation are always equal to each other.