Question

5x+4=5x+4 is it one solution, no solution, or infinite solutions?

Answer 1

Answer: infinite solutions

Simplifying
5x + 4 = 5x + 4

Reorder the terms:
4 + 5x = 5x + 4

Reorder the terms:
4 + 5x = 4 + 5x

Add '-4' to each side of the equation.
4 + -4 + 5x = 4 + -4 + 5x

Combine like terms: 4 + -4 = 0
0 + 5x = 4 + -4 + 5x
5x = 4 + -4 + 5x

Combine like terms: 4 + -4 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Answer 2

Infinite solutions

Try to solve this equation:

5x+4=5x+4

Move all the variables to the left:

5x-5x+4=4

Do you see what I see?

4=4

We end up with a true statement. 4 does indeed equal 4. Hope this helps!

~Just a joyful teen

$-GraceRosalia$