x+(x+5)=(x+7)+(x+11)+(x+4)

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Solution for x+(x+5)=(x+7)+(x+11)+(x+4) equation:


Simplifying
x + (x + 5) = (x + 7) + (x + 11) + (x + 4)

Reorder the terms:
x + (5 + x) = (x + 7) + (x + 11) + (x + 4)

Remove parenthesis around (5 + x)
x + 5 + x = (x + 7) + (x + 11) + (x + 4)

Reorder the terms:
5 + x + x = (x + 7) + (x + 11) + (x + 4)

Combine like terms: x + x = 2x
5 + 2x = (x + 7) + (x + 11) + (x + 4)

Reorder the terms:
5 + 2x = (7 + x) + (x + 11) + (x + 4)

Remove parenthesis around (7 + x)
5 + 2x = 7 + x + (x + 11) + (x + 4)

Reorder the terms:
5 + 2x = 7 + x + (11 + x) + (x + 4)

Remove parenthesis around (11 + x)
5 + 2x = 7 + x + 11 + x + (x + 4)

Reorder the terms:
5 + 2x = 7 + x + 11 + x + (4 + x)

Remove parenthesis around (4 + x)
5 + 2x = 7 + x + 11 + x + 4 + x

Reorder the terms:
5 + 2x = 7 + 11 + 4 + x + x + x

Combine like terms: 7 + 11 = 18
5 + 2x = 18 + 4 + x + x + x

Combine like terms: 18 + 4 = 22
5 + 2x = 22 + x + x + x

Combine like terms: x + x = 2x
5 + 2x = 22 + 2x + x

Combine like terms: 2x + x = 3x
5 + 2x = 22 + 3x

Solving
5 + 2x = 22 + 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.
5 + 2x + -3x = 22 + 3x + -3x

Combine like terms: 2x + -3x = -1x
5 + -1x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = 22 + 0
5 + -1x = 22

Add '-5' to each side of the equation.
5 + -5 + -1x = 22 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 22 + -5
-1x = 22 + -5

Combine like terms: 22 + -5 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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