(x+3)-(x-21)=x

Solution for (x+3)-(x-21)=x equation:

Simplifying
(x + 3) + -1(x + -21) = x

Reorder the terms:
(3 + x) + -1(x + -21) = x

Remove parenthesis around (3 + x)
3 + x + -1(x + -21) = x

Reorder the terms:
3 + x + -1(-21 + x) = x
3 + x + (-21 * -1 + x * -1) = x
3 + x + (21 + -1x) = x

Reorder the terms:
3 + 21 + x + -1x = x

Combine like terms: 3 + 21 = 24
24 + x + -1x = x

Combine like terms: x + -1x = 0
24 + 0 = x
24 = x

Solving
24 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
24 + -1x = x + -1x

Combine like terms: x + -1x = 0
24 + -1x = 0

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24