x(4x-2)+x(2x-4)=(6x+8)(x-2)

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Solution for x(4x-2)+x(2x-4)=(6x+8)(x-2) equation:


Simplifying
x(4x + -2) + x(2x + -4) = (6x + 8)(x + -2)

Reorder the terms:
x(-2 + 4x) + x(2x + -4) = (6x + 8)(x + -2)
(-2 * x + 4x * x) + x(2x + -4) = (6x + 8)(x + -2)
(-2x + 4x2) + x(2x + -4) = (6x + 8)(x + -2)

Reorder the terms:
-2x + 4x2 + x(-4 + 2x) = (6x + 8)(x + -2)
-2x + 4x2 + (-4 * x + 2x * x) = (6x + 8)(x + -2)
-2x + 4x2 + (-4x + 2x2) = (6x + 8)(x + -2)

Reorder the terms:
-2x + -4x + 4x2 + 2x2 = (6x + 8)(x + -2)

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

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

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

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

Multiply (8 + 6x) * (-2 + x)
-6x + 6x2 = (8(-2 + x) + 6x * (-2 + x))
-6x + 6x2 = ((-2 * 8 + x * 8) + 6x * (-2 + x))
-6x + 6x2 = ((-16 + 8x) + 6x * (-2 + x))
-6x + 6x2 = (-16 + 8x + (-2 * 6x + x * 6x))
-6x + 6x2 = (-16 + 8x + (-12x + 6x2))

Combine like terms: 8x + -12x = -4x
-6x + 6x2 = (-16 + -4x + 6x2)

Add '-6x2' to each side of the equation.
-6x + 6x2 + -6x2 = -16 + -4x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x + 0 = -16 + -4x + 6x2 + -6x2
-6x = -16 + -4x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x = -16 + -4x + 0
-6x = -16 + -4x

Solving
-6x = -16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6x + 4x = -16 + -4x + 4x

Combine like terms: -6x + 4x = -2x
-2x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2x = -16 + 0
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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