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

1 answer

To solve for x:

3(x+2) - 6 = 3x
Distribute on the left side:
3x + 6 - 6 = 3x
3x = 3x

This simplifies to 0 = 0, which means that the equation has infinite solutions.