(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) = 0
X + (X + 1) + (X + 2) + (X + 3) + (X + 4) = 0

Reorder the terms:
X + (1 + X) + (X + 2) + (X + 3) + (X + 4) = 0

Remove parenthesis around (1 + X)
X + 1 + X + (X + 2) + (X + 3) + (X + 4) = 0

Reorder the terms:
X + 1 + X + (2 + X) + (X + 3) + (X + 4) = 0

Remove parenthesis around (2 + X)
X + 1 + X + 2 + X + (X + 3) + (X + 4) = 0

Reorder the terms:
X + 1 + X + 2 + X + (3 + X) + (X + 4) = 0

Remove parenthesis around (3 + X)
X + 1 + X + 2 + X + 3 + X + (X + 4) = 0

Reorder the terms:
X + 1 + X + 2 + X + 3 + X + (4 + X) = 0

Remove parenthesis around (4 + X)
X + 1 + X + 2 + X + 3 + X + 4 + X = 0

Reorder the terms:
1 + 2 + 3 + 4 + X + X + X + X + X = 0

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + X + X + X + X + X = 0

Combine like terms: 3 + 3 = 6
6 + 4 + X + X + X + X + X = 0

Combine like terms: 6 + 4 = 10
10 + X + X + X + X + X = 0

Combine like terms: X + X = 2X
10 + 2X + X + X + X = 0

Combine like terms: 2X + X = 3X
10 + 3X + X + X = 0

Combine like terms: 3X + X = 4X
10 + 4X + X = 0

Combine like terms: 4X + X = 5X
10 + 5X = 0

Solving
10 + 5X = 0

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + -10 + 5X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5X = 0 + -10
5X = 0 + -10

Combine like terms: 0 + -10 = -10
5X = -10

Divide each side by '5'.
X = -2

Simplifying
X = -2

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