Question

Which statement is true for the equation 4x − 4x − 5 = −5?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answer 1

4x - 4x -5 = -5
0 - 5 = -5
0 = 0
The equation has infinitely many solutions.

Answer 2

4x-4x-5=-5 combine like terms on left side

-5=-5

The above is true for all values of x, thus there are infinitely many solutions.