x(2x-2)+x(2x-2)=(4x+2)(x-3)

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Solution for x(2x-2)+x(2x-2)=(4x+2)(x-3) equation: 


Simplifying
x(2x + -2) + x(2x + -2) = (4x + 2)(x + -3)

Reorder the terms:
x(-2 + 2x) + x(2x + -2) = (4x + 2)(x + -3)
(-2 * x + 2x * x) + x(2x + -2) = (4x + 2)(x + -3)
(-2x + 2x2) + x(2x + -2) = (4x + 2)(x + -3)

Reorder the terms:
-2x + 2x2 + x(-2 + 2x) = (4x + 2)(x + -3)
-2x + 2x2 + (-2 * x + 2x * x) = (4x + 2)(x + -3)
-2x + 2x2 + (-2x + 2x2) = (4x + 2)(x + -3)

Reorder the terms:
-2x + -2x + 2x2 + 2x2 = (4x + 2)(x + -3)

Combine like terms: -2x + -2x = -4x
-4x + 2x2 + 2x2 = (4x + 2)(x + -3)

Combine like terms: 2x2 + 2x2 = 4x2
-4x + 4x2 = (4x + 2)(x + -3)

Reorder the terms:
-4x + 4x2 = (2 + 4x)(x + -3)

Reorder the terms:
-4x + 4x2 = (2 + 4x)(-3 + x)

Multiply (2 + 4x) * (-3 + x)
-4x + 4x2 = (2(-3 + x) + 4x * (-3 + x))
-4x + 4x2 = ((-3 * 2 + x * 2) + 4x * (-3 + x))
-4x + 4x2 = ((-6 + 2x) + 4x * (-3 + x))
-4x + 4x2 = (-6 + 2x + (-3 * 4x + x * 4x))
-4x + 4x2 = (-6 + 2x + (-12x + 4x2))

Combine like terms: 2x + -12x = -10x
-4x + 4x2 = (-6 + -10x + 4x2)

Add '-4x2' to each side of the equation.
-4x + 4x2 + -4x2 = -6 + -10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x + 0 = -6 + -10x + 4x2 + -4x2
-4x = -6 + -10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x = -6 + -10x + 0
-4x = -6 + -10x

Solving
-4x = -6 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-4x + 10x = -6 + -10x + 10x

Combine like terms: -4x + 10x = 6x
6x = -6 + -10x + 10x

Combine like terms: -10x + 10x = 0
6x = -6 + 0
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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