(2x-1)2+(2x+1)2=(4x-1)2+(4x+1)2

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


Simplifying
(2x + -1) * 2 + (2x + 1) * 2 = (4x + -1) * 2 + (4x + 1) * 2

Reorder the terms:
(-1 + 2x) * 2 + (2x + 1) * 2 = (4x + -1) * 2 + (4x + 1) * 2

Reorder the terms for easier multiplication:
2(-1 + 2x) + (2x + 1) * 2 = (4x + -1) * 2 + (4x + 1) * 2
(-1 * 2 + 2x * 2) + (2x + 1) * 2 = (4x + -1) * 2 + (4x + 1) * 2
(-2 + 4x) + (2x + 1) * 2 = (4x + -1) * 2 + (4x + 1) * 2

Reorder the terms:
-2 + 4x + (1 + 2x) * 2 = (4x + -1) * 2 + (4x + 1) * 2

Reorder the terms for easier multiplication:
-2 + 4x + 2(1 + 2x) = (4x + -1) * 2 + (4x + 1) * 2
-2 + 4x + (1 * 2 + 2x * 2) = (4x + -1) * 2 + (4x + 1) * 2
-2 + 4x + (2 + 4x) = (4x + -1) * 2 + (4x + 1) * 2

Reorder the terms:
-2 + 2 + 4x + 4x = (4x + -1) * 2 + (4x + 1) * 2

Combine like terms: -2 + 2 = 0
0 + 4x + 4x = (4x + -1) * 2 + (4x + 1) * 2
4x + 4x = (4x + -1) * 2 + (4x + 1) * 2

Combine like terms: 4x + 4x = 8x
8x = (4x + -1) * 2 + (4x + 1) * 2

Reorder the terms:
8x = (-1 + 4x) * 2 + (4x + 1) * 2

Reorder the terms for easier multiplication:
8x = 2(-1 + 4x) + (4x + 1) * 2
8x = (-1 * 2 + 4x * 2) + (4x + 1) * 2
8x = (-2 + 8x) + (4x + 1) * 2

Reorder the terms:
8x = -2 + 8x + (1 + 4x) * 2

Reorder the terms for easier multiplication:
8x = -2 + 8x + 2(1 + 4x)
8x = -2 + 8x + (1 * 2 + 4x * 2)
8x = -2 + 8x + (2 + 8x)

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

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

Combine like terms: 8x + 8x = 16x
8x = 16x

Solving
8x = 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
8x + -16x = 16x + -16x

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

Combine like terms: 16x + -16x = 0
-8x = 0

Divide each side by '-8'.
x = 0

Simplifying
x = 0

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