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 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 equals 3 .
The equation has no solution.
The equation has no solution.
To solve the equation 3(x+2)-6=3x, we can start by distributing 3 to both terms inside the parentheses:
3x + 6 - 6 = 3x
The +6 and -6 cancel each other out, leaving us with:
3x = 3x
Since both sides of the equation are identical, this means that the equation has infinite solutions.