x(2x-2)+x(4x-2)=(6x+3)(x-1)

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Solution for x(2x-2)+x(4x-2)=(6x+3)(x-1) equation: 


Simplifying
x(2x + -2) + x(4x + -2) = (6x + 3)(x + -1)

Reorder the terms:
x(-2 + 2x) + x(4x + -2) = (6x + 3)(x + -1)
(-2 * x + 2x * x) + x(4x + -2) = (6x + 3)(x + -1)
(-2x + 2x2) + x(4x + -2) = (6x + 3)(x + -1)

Reorder the terms:
-2x + 2x2 + x(-2 + 4x) = (6x + 3)(x + -1)
-2x + 2x2 + (-2 * x + 4x * x) = (6x + 3)(x + -1)
-2x + 2x2 + (-2x + 4x2) = (6x + 3)(x + -1)

Reorder the terms:
-2x + -2x + 2x2 + 4x2 = (6x + 3)(x + -1)

Combine like terms: -2x + -2x = -4x
-4x + 2x2 + 4x2 = (6x + 3)(x + -1)

Combine like terms: 2x2 + 4x2 = 6x2
-4x + 6x2 = (6x + 3)(x + -1)

Reorder the terms:
-4x + 6x2 = (3 + 6x)(x + -1)

Reorder the terms:
-4x + 6x2 = (3 + 6x)(-1 + x)

Multiply (3 + 6x) * (-1 + x)
-4x + 6x2 = (3(-1 + x) + 6x * (-1 + x))
-4x + 6x2 = ((-1 * 3 + x * 3) + 6x * (-1 + x))
-4x + 6x2 = ((-3 + 3x) + 6x * (-1 + x))
-4x + 6x2 = (-3 + 3x + (-1 * 6x + x * 6x))
-4x + 6x2 = (-3 + 3x + (-6x + 6x2))

Combine like terms: 3x + -6x = -3x
-4x + 6x2 = (-3 + -3x + 6x2)

Add '-6x2' to each side of the equation.
-4x + 6x2 + -6x2 = -3 + -3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-4x + 0 = -3 + -3x + 6x2 + -6x2
-4x = -3 + -3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-4x = -3 + -3x + 0
-4x = -3 + -3x

Solving
-4x = -3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4x + 3x = -3 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-1x = -3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1x = -3 + 0
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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