(x-2)+(x+4)=(x+3)+(x+5)+(x+4)

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Solution for (x-2)+(x+4)=(x+3)+(x+5)+(x+4) equation: 


Simplifying
(x + -2) + (x + 4) = (x + 3) + (x + 5) + (x + 4)

Reorder the terms:
(-2 + x) + (x + 4) = (x + 3) + (x + 5) + (x + 4)

Remove parenthesis around (-2 + x)
-2 + x + (x + 4) = (x + 3) + (x + 5) + (x + 4)

Reorder the terms:
-2 + x + (4 + x) = (x + 3) + (x + 5) + (x + 4)

Remove parenthesis around (4 + x)
-2 + x + 4 + x = (x + 3) + (x + 5) + (x + 4)

Reorder the terms:
-2 + 4 + x + x = (x + 3) + (x + 5) + (x + 4)

Combine like terms: -2 + 4 = 2
2 + x + x = (x + 3) + (x + 5) + (x + 4)

Combine like terms: x + x = 2x
2 + 2x = (x + 3) + (x + 5) + (x + 4)

Reorder the terms:
2 + 2x = (3 + x) + (x + 5) + (x + 4)

Remove parenthesis around (3 + x)
2 + 2x = 3 + x + (x + 5) + (x + 4)

Reorder the terms:
2 + 2x = 3 + x + (5 + x) + (x + 4)

Remove parenthesis around (5 + x)
2 + 2x = 3 + x + 5 + x + (x + 4)

Reorder the terms:
2 + 2x = 3 + x + 5 + x + (4 + x)

Remove parenthesis around (4 + x)
2 + 2x = 3 + x + 5 + x + 4 + x

Reorder the terms:
2 + 2x = 3 + 5 + 4 + x + x + x

Combine like terms: 3 + 5 = 8
2 + 2x = 8 + 4 + x + x + x

Combine like terms: 8 + 4 = 12
2 + 2x = 12 + x + x + x

Combine like terms: x + x = 2x
2 + 2x = 12 + 2x + x

Combine like terms: 2x + x = 3x
2 + 2x = 12 + 3x

Solving
2 + 2x = 12 + 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.
2 + 2x + -3x = 12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = 12 + 0
2 + -1x = 12

Add '-2' to each side of the equation.
2 + -2 + -1x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 12 + -2
-1x = 12 + -2

Combine like terms: 12 + -2 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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