(4x-16)2-(x-2)2=(8-x)2

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Solution for (4x-16)2-(x-2)2=(8-x)2 equation: 


Simplifying
(4x + -16) * 2 + -1(x + -2) * 2 = (8 + -1x) * 2

Reorder the terms:
(-16 + 4x) * 2 + -1(x + -2) * 2 = (8 + -1x) * 2

Reorder the terms for easier multiplication:
2(-16 + 4x) + -1(x + -2) * 2 = (8 + -1x) * 2
(-16 * 2 + 4x * 2) + -1(x + -2) * 2 = (8 + -1x) * 2
(-32 + 8x) + -1(x + -2) * 2 = (8 + -1x) * 2

Reorder the terms:
-32 + 8x + -1(-2 + x) * 2 = (8 + -1x) * 2

Reorder the terms for easier multiplication:
-32 + 8x + -1 * 2(-2 + x) = (8 + -1x) * 2

Multiply -1 * 2
-32 + 8x + -2(-2 + x) = (8 + -1x) * 2
-32 + 8x + (-2 * -2 + x * -2) = (8 + -1x) * 2
-32 + 8x + (4 + -2x) = (8 + -1x) * 2

Reorder the terms:
-32 + 4 + 8x + -2x = (8 + -1x) * 2

Combine like terms: -32 + 4 = -28
-28 + 8x + -2x = (8 + -1x) * 2

Combine like terms: 8x + -2x = 6x
-28 + 6x = (8 + -1x) * 2

Reorder the terms for easier multiplication:
-28 + 6x = 2(8 + -1x)
-28 + 6x = (8 * 2 + -1x * 2)
-28 + 6x = (16 + -2x)

Solving
-28 + 6x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-28 + 6x + 2x = 16 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-28 + 8x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-28 + 8x = 16 + 0
-28 + 8x = 16

Add '28' to each side of the equation.
-28 + 28 + 8x = 16 + 28

Combine like terms: -28 + 28 = 0
0 + 8x = 16 + 28
8x = 16 + 28

Combine like terms: 16 + 28 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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