(2x-8)*(2x+10)=(2x+8)*(2x-8)

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Solution for (2x-8)*(2x+10)=(2x+8)*(2x-8) equation: 


Simplifying
(2x + -8)(2x + 10) = (2x + 8)(2x + -8)

Reorder the terms:
(-8 + 2x)(2x + 10) = (2x + 8)(2x + -8)

Reorder the terms:
(-8 + 2x)(10 + 2x) = (2x + 8)(2x + -8)

Multiply (-8 + 2x) * (10 + 2x)
(-8(10 + 2x) + 2x * (10 + 2x)) = (2x + 8)(2x + -8)
((10 * -8 + 2x * -8) + 2x * (10 + 2x)) = (2x + 8)(2x + -8)
((-80 + -16x) + 2x * (10 + 2x)) = (2x + 8)(2x + -8)
(-80 + -16x + (10 * 2x + 2x * 2x)) = (2x + 8)(2x + -8)
(-80 + -16x + (20x + 4x2)) = (2x + 8)(2x + -8)

Combine like terms: -16x + 20x = 4x
(-80 + 4x + 4x2) = (2x + 8)(2x + -8)

Reorder the terms:
-80 + 4x + 4x2 = (8 + 2x)(2x + -8)

Reorder the terms:
-80 + 4x + 4x2 = (8 + 2x)(-8 + 2x)

Multiply (8 + 2x) * (-8 + 2x)
-80 + 4x + 4x2 = (8(-8 + 2x) + 2x * (-8 + 2x))
-80 + 4x + 4x2 = ((-8 * 8 + 2x * 8) + 2x * (-8 + 2x))
-80 + 4x + 4x2 = ((-64 + 16x) + 2x * (-8 + 2x))
-80 + 4x + 4x2 = (-64 + 16x + (-8 * 2x + 2x * 2x))
-80 + 4x + 4x2 = (-64 + 16x + (-16x + 4x2))

Combine like terms: 16x + -16x = 0
-80 + 4x + 4x2 = (-64 + 0 + 4x2)
-80 + 4x + 4x2 = (-64 + 4x2)

Add '-4x2' to each side of the equation.
-80 + 4x + 4x2 + -4x2 = -64 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-80 + 4x + 0 = -64 + 4x2 + -4x2
-80 + 4x = -64 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-80 + 4x = -64 + 0
-80 + 4x = -64

Solving
-80 + 4x = -64

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 4x = -64 + 80

Combine like terms: -80 + 80 = 0
0 + 4x = -64 + 80
4x = -64 + 80

Combine like terms: -64 + 80 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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