(3x+2)+2=(22-x)+22

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Solution for (3x+2)+2=(22-x)+22 equation: 


Simplifying
(3x + 2) + 2 = (22 + -1x) + 22

Reorder the terms:
(2 + 3x) + 2 = (22 + -1x) + 22

Remove parenthesis around (2 + 3x)
2 + 3x + 2 = (22 + -1x) + 22

Reorder the terms:
2 + 2 + 3x = (22 + -1x) + 22

Combine like terms: 2 + 2 = 4
4 + 3x = (22 + -1x) + 22

Remove parenthesis around (22 + -1x)
4 + 3x = 22 + -1x + 22

Reorder the terms:
4 + 3x = 22 + 22 + -1x

Combine like terms: 22 + 22 = 44
4 + 3x = 44 + -1x

Solving
4 + 3x = 44 + -1x

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.
4 + 3x + x = 44 + -1x + x

Combine like terms: 3x + x = 4x
4 + 4x = 44 + -1x + x

Combine like terms: -1x + x = 0
4 + 4x = 44 + 0
4 + 4x = 44

Add '-4' to each side of the equation.
4 + -4 + 4x = 44 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 44 + -4
4x = 44 + -4

Combine like terms: 44 + -4 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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