Question

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

5 (2x + 2) − 7x = 3x + 6
Responses

The equation has one solution: x=6.

The equation has infinite solutions.

The equation has no solution.

The equation has one solution: x=10.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we can start by simplifying the equation:

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

Distribute the 5 on the left side:

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

Combine like terms on both sides:

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

3x + 10 = 3x + 6

Subtract 3x from both sides to isolate the constant terms:

10 = 6

This equation is not possible as it results in a contradiction. Therefore, the equation has no solution.