x+(x+1)=(x+2)+(x+3)+(x+4)

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Solution for x+(x+1)=(x+2)+(x+3)+(x+4) equation: 


Simplifying
x + (x + 1) = (x + 2) + (x + 3) + (x + 4)

Reorder the terms:
x + (1 + x) = (x + 2) + (x + 3) + (x + 4)

Remove parenthesis around (1 + x)
x + 1 + x = (x + 2) + (x + 3) + (x + 4)

Reorder the terms:
1 + x + x = (x + 2) + (x + 3) + (x + 4)

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

Reorder the terms:
1 + 2x = (2 + x) + (x + 3) + (x + 4)

Remove parenthesis around (2 + x)
1 + 2x = 2 + x + (x + 3) + (x + 4)

Reorder the terms:
1 + 2x = 2 + x + (3 + x) + (x + 4)

Remove parenthesis around (3 + x)
1 + 2x = 2 + x + 3 + x + (x + 4)

Reorder the terms:
1 + 2x = 2 + x + 3 + x + (4 + x)

Remove parenthesis around (4 + x)
1 + 2x = 2 + x + 3 + x + 4 + x

Reorder the terms:
1 + 2x = 2 + 3 + 4 + x + x + x

Combine like terms: 2 + 3 = 5
1 + 2x = 5 + 4 + x + x + x

Combine like terms: 5 + 4 = 9
1 + 2x = 9 + x + x + x

Combine like terms: x + x = 2x
1 + 2x = 9 + 2x + x

Combine like terms: 2x + x = 3x
1 + 2x = 9 + 3x

Solving
1 + 2x = 9 + 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.
1 + 2x + -3x = 9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
1 + -1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -1x = 9 + 0
1 + -1x = 9

Add '-1' to each side of the equation.
1 + -1 + -1x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 9 + -1
-1x = 9 + -1

Combine like terms: 9 + -1 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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