(x+4)=x+(x+2)+(x+4)-22

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Solution for (x+4)=x+(x+2)+(x+4)-22 equation:


Simplifying
(x + 4) = x + (x + 2) + (x + 4) + -22

Reorder the terms:
(4 + x) = x + (x + 2) + (x + 4) + -22

Remove parenthesis around (4 + x)
4 + x = x + (x + 2) + (x + 4) + -22

Reorder the terms:
4 + x = x + (2 + x) + (x + 4) + -22

Remove parenthesis around (2 + x)
4 + x = x + 2 + x + (x + 4) + -22

Reorder the terms:
4 + x = x + 2 + x + (4 + x) + -22

Remove parenthesis around (4 + x)
4 + x = x + 2 + x + 4 + x + -22

Reorder the terms:
4 + x = 2 + 4 + -22 + x + x + x

Combine like terms: 2 + 4 = 6
4 + x = 6 + -22 + x + x + x

Combine like terms: 6 + -22 = -16
4 + x = -16 + x + x + x

Combine like terms: x + x = 2x
4 + x = -16 + 2x + x

Combine like terms: 2x + x = 3x
4 + x = -16 + 3x

Solving
4 + x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + x + -3x = -16 + 3x + -3x

Combine like terms: x + -3x = -2x
4 + -2x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -2x = -16 + 0
4 + -2x = -16

Add '-4' to each side of the equation.
4 + -4 + -2x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -16 + -4
-2x = -16 + -4

Combine like terms: -16 + -4 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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