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

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


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

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

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

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

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

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

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

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

Multiply (2 + 8x) * (-1 + x)
-4x + 8x2 = (2(-1 + x) + 8x * (-1 + x))
-4x + 8x2 = ((-1 * 2 + x * 2) + 8x * (-1 + x))
-4x + 8x2 = ((-2 + 2x) + 8x * (-1 + x))
-4x + 8x2 = (-2 + 2x + (-1 * 8x + x * 8x))
-4x + 8x2 = (-2 + 2x + (-8x + 8x2))

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

Add '-8x2' to each side of the equation.
-4x + 8x2 + -8x2 = -2 + -6x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-4x + 0 = -2 + -6x + 8x2 + -8x2
-4x = -2 + -6x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-4x = -2 + -6x + 0
-4x = -2 + -6x

Solving
-4x = -2 + -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.
-4x + 6x = -2 + -6x + 6x

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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