Solve for x to determine if the equation has one, none, or infinite solutions. 11x=3(7x−1)−10x (1 point) Responses The equation has one solution: x=−1. The equation has one solution: x equals negative 1 . The equation has one solution: x=−3. The equation has one solution: x equals negative 3 . The equation has no solution. The equation has no solution. The equation has infinite solutions.

To solve the equation, we can start by distributing the 3 to both terms inside the parentheses:

11x = 21x - 3 - 10x
Combine like terms:
11x = 11x - 3
Subtract 11x from both sides:
0 = -3
Since the equation simplifies to 0 = -3, which is not a true statement, there is no solution to the equation. Therefore, the correct response is: The equation has no solution.