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 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

To solve for x, we first need to simplify the equation:

3(x+2) - 6 = 3x

Start by distributing the 3 to both terms inside the parentheses:

3x + 6 - 6 = 3x

Combine like terms:

3x = 3x

Now, subtract 3x from both sides:

0 = 0

Since 0 = 0, this equation has infinite solutions.

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