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.
The equation has one solution: x=3.
To solve the equation, let's start by simplifying the expression on the left side:
3(x+2) - 6 = 3x
Distributing the 3 on the left side:
3x + 6 - 6 = 3x
Combining like terms:
3x = 3x
This equation has the same variable on both sides and no constant terms, which means it has infinite solutions.