(X+3)-(x+3)=0

Solution for (X+3)-(x+3)=0 equation:

Simplifying
(X + 3) + -1(x + 3) = 0

Reorder the terms:
(3 + X) + -1(x + 3) = 0

Remove parenthesis around (3 + X)
3 + X + -1(x + 3) = 0

Reorder the terms:
3 + X + -1(3 + x) = 0
3 + X + (3 * -1 + x * -1) = 0
3 + X + (-3 + -1x) = 0

Reorder the terms:
3 + -3 + X + -1x = 0

Combine like terms: 3 + -3 = 0
0 + X + -1x = 0
X + -1x = 0

Solving
X + -1x = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add 'x' to each side of the equation.
X + -1x + x = 0 + x

Combine like terms: -1x + x = 0
X + 0 = 0 + x
X = 0 + x
Remove the zero:
X = x

Simplifying
X = x