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 infinite solutions. The equation has infinite solutions. The equation has no solution. The equation has no solution. The equation has one solution: x=−3.
To solve for x, we first need to simplify the equation:
3(x+2) - 6 = 3x
Start by distributing the 3 to both terms inside the parentheses:
3x + 6 - 6 = 3x
Combine like terms:
3x = 3x
Now, subtract 3x from both sides:
0 = 0
Since 0 = 0, this equation has infinite solutions.
Therefore, the correct response is: "The equation has infinite solutions."