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

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


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

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

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

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

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

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

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

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

Multiply (8 + 5x) * (-1 + x)
-5x + 5x2 = (8(-1 + x) + 5x * (-1 + x))
-5x + 5x2 = ((-1 * 8 + x * 8) + 5x * (-1 + x))
-5x + 5x2 = ((-8 + 8x) + 5x * (-1 + x))
-5x + 5x2 = (-8 + 8x + (-1 * 5x + x * 5x))
-5x + 5x2 = (-8 + 8x + (-5x + 5x2))

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

Add '-5x2' to each side of the equation.
-5x + 5x2 + -5x2 = -8 + 3x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-5x + 0 = -8 + 3x + 5x2 + -5x2
-5x = -8 + 3x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-5x = -8 + 3x + 0
-5x = -8 + 3x

Solving
-5x = -8 + 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.
-5x + -3x = -8 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-8x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8x = -8 + 0
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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