(x+37)+(-37)=x+(37+(-37))

Solution for (x+37)+(-37)=x+(37+(-37)) equation:

Simplifying
(x + 37) + (-37) = x + (37 + (-37))

Reorder the terms:
(37 + x) + (-37) = x + (37 + (-37))

Remove parenthesis around (37 + x)
37 + x + (-37) = x + (37 + (-37))
37 + x + -37 = x + (37 + (-37))

Reorder the terms:
37 + -37 + x = x + (37 + (-37))

Combine like terms: 37 + -37 = 0
0 + x = x + (37 + (-37))
x = x + (37 + (-37))
x = x + (37 + -37)

Combine like terms: 37 + -37 = 0
x = x + (0)
x = x + 0

Reorder the terms:
x = 0 + x
Remove the zero:
x = x

Add '-1x' to each side of the equation.
x + -1x = x + -1x

Combine like terms: x + -1x = 0
0 = x + -1x

Combine like terms: x + -1x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

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