x(5x-2)+x(3x-6)=(8x+4)(x-1)

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Solution for x(5x-2)+x(3x-6)=(8x+4)(x-1) equation: 


Simplifying
x(5x + -2) + x(3x + -6) = (8x + 4)(x + -1)

Reorder the terms:
x(-2 + 5x) + x(3x + -6) = (8x + 4)(x + -1)
(-2 * x + 5x * x) + x(3x + -6) = (8x + 4)(x + -1)
(-2x + 5x2) + x(3x + -6) = (8x + 4)(x + -1)

Reorder the terms:
-2x + 5x2 + x(-6 + 3x) = (8x + 4)(x + -1)
-2x + 5x2 + (-6 * x + 3x * x) = (8x + 4)(x + -1)
-2x + 5x2 + (-6x + 3x2) = (8x + 4)(x + -1)

Reorder the terms:
-2x + -6x + 5x2 + 3x2 = (8x + 4)(x + -1)

Combine like terms: -2x + -6x = -8x
-8x + 5x2 + 3x2 = (8x + 4)(x + -1)

Combine like terms: 5x2 + 3x2 = 8x2
-8x + 8x2 = (8x + 4)(x + -1)

Reorder the terms:
-8x + 8x2 = (4 + 8x)(x + -1)

Reorder the terms:
-8x + 8x2 = (4 + 8x)(-1 + x)

Multiply (4 + 8x) * (-1 + x)
-8x + 8x2 = (4(-1 + x) + 8x * (-1 + x))
-8x + 8x2 = ((-1 * 4 + x * 4) + 8x * (-1 + x))
-8x + 8x2 = ((-4 + 4x) + 8x * (-1 + x))
-8x + 8x2 = (-4 + 4x + (-1 * 8x + x * 8x))
-8x + 8x2 = (-4 + 4x + (-8x + 8x2))

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

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

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

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

Solving
-8x = -4 + -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.
-8x + 4x = -4 + -4x + 4x

Combine like terms: -8x + 4x = -4x
-4x = -4 + -4x + 4x

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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