x(2x-2)+x(2x-2)=(4x+8)(x-5)

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Solution for x(2x-2)+x(2x-2)=(4x+8)(x-5) equation: 


Simplifying
x(2x + -2) + x(2x + -2) = (4x + 8)(x + -5)

Reorder the terms:
x(-2 + 2x) + x(2x + -2) = (4x + 8)(x + -5)
(-2 * x + 2x * x) + x(2x + -2) = (4x + 8)(x + -5)
(-2x + 2x2) + x(2x + -2) = (4x + 8)(x + -5)

Reorder the terms:
-2x + 2x2 + x(-2 + 2x) = (4x + 8)(x + -5)
-2x + 2x2 + (-2 * x + 2x * x) = (4x + 8)(x + -5)
-2x + 2x2 + (-2x + 2x2) = (4x + 8)(x + -5)

Reorder the terms:
-2x + -2x + 2x2 + 2x2 = (4x + 8)(x + -5)

Combine like terms: -2x + -2x = -4x
-4x + 2x2 + 2x2 = (4x + 8)(x + -5)

Combine like terms: 2x2 + 2x2 = 4x2
-4x + 4x2 = (4x + 8)(x + -5)

Reorder the terms:
-4x + 4x2 = (8 + 4x)(x + -5)

Reorder the terms:
-4x + 4x2 = (8 + 4x)(-5 + x)

Multiply (8 + 4x) * (-5 + x)
-4x + 4x2 = (8(-5 + x) + 4x * (-5 + x))
-4x + 4x2 = ((-5 * 8 + x * 8) + 4x * (-5 + x))
-4x + 4x2 = ((-40 + 8x) + 4x * (-5 + x))
-4x + 4x2 = (-40 + 8x + (-5 * 4x + x * 4x))
-4x + 4x2 = (-40 + 8x + (-20x + 4x2))

Combine like terms: 8x + -20x = -12x
-4x + 4x2 = (-40 + -12x + 4x2)

Add '-4x2' to each side of the equation.
-4x + 4x2 + -4x2 = -40 + -12x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x + 0 = -40 + -12x + 4x2 + -4x2
-4x = -40 + -12x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x = -40 + -12x + 0
-4x = -40 + -12x

Solving
-4x = -40 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-4x + 12x = -40 + -12x + 12x

Combine like terms: -4x + 12x = 8x
8x = -40 + -12x + 12x

Combine like terms: -12x + 12x = 0
8x = -40 + 0
8x = -40

Divide each side by '8'.
x = -5

Simplifying
x = -5

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