(x+3)+(-3)=x+(3+(-3))

Solution for (x+3)+(-3)=x+(3+(-3)) equation:

Simplifying
(x + 3) + (-3) = x + (3 + (-3))

Reorder the terms:
(3 + x) + (-3) = x + (3 + (-3))

Remove parenthesis around (3 + x)
3 + x + (-3) = x + (3 + (-3))
3 + x + -3 = x + (3 + (-3))

Reorder the terms:
3 + -3 + x = x + (3 + (-3))

Combine like terms: 3 + -3 = 0
0 + x = x + (3 + (-3))
x = x + (3 + (-3))
x = x + (3 + -3)

Combine like terms: 3 + -3 = 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.