X+(x+1)+(x+2)+(x+3)+(x+4)=114

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Solution for X+(x+1)+(x+2)+(x+3)+(x+4)=114 equation: 


Simplifying
X + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 114

Reorder the terms:
X + (1 + x) + (x + 2) + (x + 3) + (x + 4) = 114

Remove parenthesis around (1 + x)
X + 1 + x + (x + 2) + (x + 3) + (x + 4) = 114

Reorder the terms:
X + 1 + x + (2 + x) + (x + 3) + (x + 4) = 114

Remove parenthesis around (2 + x)
X + 1 + x + 2 + x + (x + 3) + (x + 4) = 114

Reorder the terms:
X + 1 + x + 2 + x + (3 + x) + (x + 4) = 114

Remove parenthesis around (3 + x)
X + 1 + x + 2 + x + 3 + x + (x + 4) = 114

Reorder the terms:
X + 1 + x + 2 + x + 3 + x + (4 + x) = 114

Remove parenthesis around (4 + x)
X + 1 + x + 2 + x + 3 + x + 4 + x = 114

Reorder the terms:
1 + 2 + 3 + 4 + X + x + x + x + x = 114

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + X + x + x + x + x = 114

Combine like terms: 3 + 3 = 6
6 + 4 + X + x + x + x + x = 114

Combine like terms: 6 + 4 = 10
10 + X + x + x + x + x = 114

Combine like terms: x + x = 2x
10 + X + 2x + x + x = 114

Combine like terms: 2x + x = 3x
10 + X + 3x + x = 114

Combine like terms: 3x + x = 4x
10 + X + 4x = 114

Solving
10 + X + 4x = 114

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 + X + -10 + 4x = 114 + -10

Reorder the terms:
10 + -10 + X + 4x = 114 + -10

Combine like terms: 10 + -10 = 0
0 + X + 4x = 114 + -10
X + 4x = 114 + -10

Combine like terms: 114 + -10 = 104
X + 4x = 104

Add '-4x' to each side of the equation.
X + 4x + -4x = 104 + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 104 + -4x
X = 104 + -4x

Simplifying
X = 104 + -4x

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