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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 4 + 2 = 6
6 + X + x + x = (x + 1) + (x + 4)

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

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

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

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

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

Reorder the terms:
6 + X + 2x = 1 + 4 + x + x

Combine like terms: 1 + 4 = 5
6 + X + 2x = 5 + x + x

Combine like terms: x + x = 2x
6 + X + 2x = 5 + 2x

Add '-2x' to each side of the equation.
6 + X + 2x + -2x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + X + 0 = 5 + 2x + -2x
6 + X = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + X = 5 + 0
6 + X = 5

Solving
6 + X = 5

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + -6 + X = 5 + -6

Combine like terms: 6 + -6 = 0
0 + X = 5 + -6
X = 5 + -6

Combine like terms: 5 + -6 = -1
X = -1

Simplifying
X = -1

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