To solve the equation 3(x+2) - 6 = 3x, we can simplify it step-by-step:
First, distribute the 3 to the terms inside the parentheses:
3x + 6 - 6 = 3x
Next, combine like terms:
3x = 3x
At this point, we can see that the equation has the same term on both sides (3x). This means that no matter what value we choose for x, the equation will always be true. Therefore, the equation has infinite solutions.
So the correct response is: The equation has infinite solutions.
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 one solution: x=−3. The equation has one solution: x equals negative 3 . The equation has infinite solutions. The equation has infinite solutions. The equation has no solution.
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