Solve for x to determine if the equation has one, none, or infinite solutions 5 (2x + 2) - 7x = 3x + 6. The equation has infinite solutions. The equation has no solution. The equation has one solution x = 6. The equation has one solution x = 10.
To solve the equation:
5(2x + 2) - 7x = 3x + 6
10x + 10 - 7x = 3x + 6
3x + 10 = 3x + 6
Subtracting 3x from both sides:
10 = 6
This is a false statement, which means that there are no solutions to the equation. Therefore, the correct answer is: The equation has no solution.