Question

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

3(x + 2) - 6 = 3x (1 point)

The equation has one solution: x = 3

The equation has one solution: x = -3

The equation has no solution.

The equation has infinite solutions.

Answer 1

To solve for a, we need to simplify the equation:

3(x + 2) - 6 = 3x

Distribute 3 to both terms inside the parentheses:

3x + 6 - 6 = 3x

Combine like terms:

3x = 3x

Now, we see that the variable x is eliminated on both sides of the equation. This means that the equation is true for any value of x. Therefore, the equation has infinite solutions.

The correct answer is: The equation has infinite solutions.