Question 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 no solution. The equation has no solution. 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.
To solve the equation, let's simplify it:
3(x+2) - 6 = 3x
Distribute the 3 on the left side:
3x + 6 - 6 = 3x
Combine like terms:
3x = 3x
This equation has the same value on both sides and no variable terms. It means that any value of x will satisfy the equation.
Therefore, the equation has infinite solutions.