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 negative 3 .

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

The equation has one solution: x=3.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we can start by distributing 3 to both terms inside the parentheses:

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

In this case, we end up with the statement 3x = 3x, which means that both sides are equal. In this scenario, the equation has infinitely many solutions.

Therefore, the correct response is: The equation has infinite solutions.