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

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

The equation has one solution: 3.
The equation has one solution: z 3.
The equation has infinite solutions.
The equation has no solution.

1 answer

The equation has no solution.

To solve:

3(x+2) - 6 = 3x

Distribute the 3 on the left side:

3x + 6 - 6 = 3x

Combine like terms:

3x = 3x

Subtract 3x from both sides:

0 = 0

Since the equation simplifies to 0 = 0, this means that the equation is always true and has no specific value for x. Therefore, it has no solution.