(x+2)+(x+6)=(x+4)+(2x-2)

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Solution for (x+2)+(x+6)=(x+4)+(2x-2) equation:


Simplifying
(x + 2) + (x + 6) = (x + 4) + (2x + -2)

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

Remove parenthesis around (2 + x)
2 + x + (x + 6) = (x + 4) + (2x + -2)

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

Remove parenthesis around (6 + x)
2 + x + 6 + x = (x + 4) + (2x + -2)

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

Combine like terms: 2 + 6 = 8
8 + x + x = (x + 4) + (2x + -2)

Combine like terms: x + x = 2x
8 + 2x = (x + 4) + (2x + -2)

Reorder the terms:
8 + 2x = (4 + x) + (2x + -2)

Remove parenthesis around (4 + x)
8 + 2x = 4 + x + (2x + -2)

Reorder the terms:
8 + 2x = 4 + x + (-2 + 2x)

Remove parenthesis around (-2 + 2x)
8 + 2x = 4 + x + -2 + 2x

Reorder the terms:
8 + 2x = 4 + -2 + x + 2x

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

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

Solving
8 + 2x = 2 + 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.
8 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 2 + 0
8 + -1x = 2

Add '-8' to each side of the equation.
8 + -8 + -1x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 2 + -8
-1x = 2 + -8

Combine like terms: 2 + -8 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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