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

5(2x+2)−7x=3x+6(1 point)
Responses

The equation has no solution.
The equation has no solution.

The equation has one solution: x=10.
The equation has one solution: x equals 10 .

The equation has infinite solutions.
The equation has infinite solutions.

The equation has one solution: x=6.

Let's solve for x:

5(2x+2) - 7x = 3x + 6
10x + 10 - 7x = 3x + 6
3x + 10 = 3x + 6
10 = 6

This equation has no solution because the variables on both sides of the equation end up canceling each other out and leading to a false statement.