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

Question

5 (2x + 2) − 7x = 3x + 6

1. The equation has one solution: x=6.

2. The equation has infinite solutions.

3. The equation has no solution.

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

Answer 1

5 (2x+2) − 7x = 3x + 6 can be simplified as:

10x + 10 - 7x = 3x + 6

10x - 7x - 3x = 6 - 10

Simplifying further:

x = -4/3

Therefore, the equation has only one solution. Option 1 is correct: The equation has one solution: x=6.