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

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


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

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

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

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

Combine like terms: -2x + -4x = -6x
-6x + 4x2 + 4x2 = (8x + -8)(x + -2)

Combine like terms: 4x2 + 4x2 = 8x2
-6x + 8x2 = (8x + -8)(x + -2)

Reorder the terms:
-6x + 8x2 = (-8 + 8x)(x + -2)

Reorder the terms:
-6x + 8x2 = (-8 + 8x)(-2 + x)

Multiply (-8 + 8x) * (-2 + x)
-6x + 8x2 = (-8(-2 + x) + 8x * (-2 + x))
-6x + 8x2 = ((-2 * -8 + x * -8) + 8x * (-2 + x))
-6x + 8x2 = ((16 + -8x) + 8x * (-2 + x))
-6x + 8x2 = (16 + -8x + (-2 * 8x + x * 8x))
-6x + 8x2 = (16 + -8x + (-16x + 8x2))

Combine like terms: -8x + -16x = -24x
-6x + 8x2 = (16 + -24x + 8x2)

Add '-8x2' to each side of the equation.
-6x + 8x2 + -8x2 = 16 + -24x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-6x + 0 = 16 + -24x + 8x2 + -8x2
-6x = 16 + -24x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-6x = 16 + -24x + 0
-6x = 16 + -24x

Solving
-6x = 16 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-6x + 24x = 16 + -24x + 24x

Combine like terms: -6x + 24x = 18x
18x = 16 + -24x + 24x

Combine like terms: -24x + 24x = 0
18x = 16 + 0
18x = 16

Divide each side by '18'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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