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 no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−3.
To solve the equation, we can start by simplifying both sides:
3(x+2) - 6 = 3x
First, distribute the 3:
3x + 6 - 6 = 3x
The +6 and -6 on the left side cancel out:
3x = 3x
Since both sides of the equation are equal, this means that the equation has infinite solutions.