Question

Hii!! Could someone please help me with a math question? Thank you <33

Solve for x: −4x − 4 = −4(x + 2)

1. 0
2. −4
3. All real numbers
4. No solution

I'm pretty sure it's 4, but I'd just like a second opinion :)

Answer 1

4 is incorrect.

−4x − 4 = −4(x + 2)

distributing the right side

-4x - 4 = -4x - 8

If you subtract -4x from both sides, you get -4 = -8 which is clearly a false statement. Therefore, there is no x value that could possibly make this true, meaning there is no solution to this problem.