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

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


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

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

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

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

Combine like terms: -4x + -4x = -8x
-8x + 2x2 + 2x2 = (4x + 6)(x + -3)

Combine like terms: 2x2 + 2x2 = 4x2
-8x + 4x2 = (4x + 6)(x + -3)

Reorder the terms:
-8x + 4x2 = (6 + 4x)(x + -3)

Reorder the terms:
-8x + 4x2 = (6 + 4x)(-3 + x)

Multiply (6 + 4x) * (-3 + x)
-8x + 4x2 = (6(-3 + x) + 4x * (-3 + x))
-8x + 4x2 = ((-3 * 6 + x * 6) + 4x * (-3 + x))
-8x + 4x2 = ((-18 + 6x) + 4x * (-3 + x))
-8x + 4x2 = (-18 + 6x + (-3 * 4x + x * 4x))
-8x + 4x2 = (-18 + 6x + (-12x + 4x2))

Combine like terms: 6x + -12x = -6x
-8x + 4x2 = (-18 + -6x + 4x2)

Add '-4x2' to each side of the equation.
-8x + 4x2 + -4x2 = -18 + -6x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-8x + 0 = -18 + -6x + 4x2 + -4x2
-8x = -18 + -6x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-8x = -18 + -6x + 0
-8x = -18 + -6x

Solving
-8x = -18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8x + 6x = -18 + -6x + 6x

Combine like terms: -8x + 6x = -2x
-2x = -18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2x = -18 + 0
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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