Solve the following equation

5(z-4)-z=4z-20

4
-4
Infinitely many solutions
No solution

I had found that the answer was 0=0, but what does that mean? I’m confused. Thank you in advance.

5 answers

I think the answer is C. if anyone could help :-) no rush
In solving equation, if your variable drops and and you get:

1. a statement which is true, such as 0=0 , or 5=5, then there will be an infinite number of solutions.

2. a statement which is false, such as 0=8 , or 23 = 67 , then there is no solution to the equation
So I redid my math, and I replaced the x with 4. In the end on both sides I got -4 as the answer. If I did -4, there was no answer. So does that mean the answer is 4? It’s not asking what x is, but maybe it is? I know for a fact that B and D are not correct, but is it A or C?
So... idk what the answer is... perfect
There are infinitely many solutions, C is correct.