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

5(2x + 2) - 7x = 3x + 6 (1 point)
The equation has infinite solutions.
The equation has no solution.
The equation has one solution: x = 6
The equation has one solution: x = 10

1 answer

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

This equation simplifies to a false statement, 10 does not equal 6. Therefore, the equation has no solution.