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

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


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

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

Reorder the terms for easier multiplication:
2(2 + x) + (x + 6) * 2 = (2x + -2) * 2 + (x + 4) * 2
(2 * 2 + x * 2) + (x + 6) * 2 = (2x + -2) * 2 + (x + 4) * 2
(4 + 2x) + (x + 6) * 2 = (2x + -2) * 2 + (x + 4) * 2

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

Reorder the terms for easier multiplication:
4 + 2x + 2(6 + x) = (2x + -2) * 2 + (x + 4) * 2
4 + 2x + (6 * 2 + x * 2) = (2x + -2) * 2 + (x + 4) * 2
4 + 2x + (12 + 2x) = (2x + -2) * 2 + (x + 4) * 2

Reorder the terms:
4 + 12 + 2x + 2x = (2x + -2) * 2 + (x + 4) * 2

Combine like terms: 4 + 12 = 16
16 + 2x + 2x = (2x + -2) * 2 + (x + 4) * 2

Combine like terms: 2x + 2x = 4x
16 + 4x = (2x + -2) * 2 + (x + 4) * 2

Reorder the terms:
16 + 4x = (-2 + 2x) * 2 + (x + 4) * 2

Reorder the terms for easier multiplication:
16 + 4x = 2(-2 + 2x) + (x + 4) * 2
16 + 4x = (-2 * 2 + 2x * 2) + (x + 4) * 2
16 + 4x = (-4 + 4x) + (x + 4) * 2

Reorder the terms:
16 + 4x = -4 + 4x + (4 + x) * 2

Reorder the terms for easier multiplication:
16 + 4x = -4 + 4x + 2(4 + x)
16 + 4x = -4 + 4x + (4 * 2 + x * 2)
16 + 4x = -4 + 4x + (8 + 2x)

Reorder the terms:
16 + 4x = -4 + 8 + 4x + 2x

Combine like terms: -4 + 8 = 4
16 + 4x = 4 + 4x + 2x

Combine like terms: 4x + 2x = 6x
16 + 4x = 4 + 6x

Solving
16 + 4x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
16 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -2x = 4 + 0
16 + -2x = 4

Add '-16' to each side of the equation.
16 + -16 + -2x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 4 + -16
-2x = 4 + -16

Combine like terms: 4 + -16 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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