Solve for x to determine if the equation has one, none, or infinite solutions.

11x=3(7x−1)−10x

The equation has one solution: x=−3.

The equation has no solution.

The equation has one solution: x=−1.

The equation has infinite solutions.

To solve for x, we will first distribute the 3 on the right side of the equation:

11x = 21x - 3 - 10x

Combine like terms on the right side:

11x = 11x - 3

Subtract 11x from both sides:

0 = -3

Since 0 does not equal -3, the equation has no solution.