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 one solution: x=−3. The equation has one solution: x equals negative 3 . The equation has no solution.

1 answer

To solve the equation, we can start by distributing the 3 to the terms inside the parentheses:

3(x+2) - 6 = 3x

3x + 6 - 6 = 3x

Now, we can simplify by subtracting 3x from both sides:

6 = 0

Since this is not a true statement, the equation has no solution. Thus, the correct response is:

The equation has no solution.