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

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


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

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

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

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

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

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

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

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

Multiply (8 + 8x) * (-3 + x)
-8x + 8x2 = (8(-3 + x) + 8x * (-3 + x))
-8x + 8x2 = ((-3 * 8 + x * 8) + 8x * (-3 + x))
-8x + 8x2 = ((-24 + 8x) + 8x * (-3 + x))
-8x + 8x2 = (-24 + 8x + (-3 * 8x + x * 8x))
-8x + 8x2 = (-24 + 8x + (-24x + 8x2))

Combine like terms: 8x + -24x = -16x
-8x + 8x2 = (-24 + -16x + 8x2)

Add '-8x2' to each side of the equation.
-8x + 8x2 + -8x2 = -24 + -16x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-8x + 0 = -24 + -16x + 8x2 + -8x2
-8x = -24 + -16x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-8x = -24 + -16x + 0
-8x = -24 + -16x

Solving
-8x = -24 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-8x + 16x = -24 + -16x + 16x

Combine like terms: -8x + 16x = 8x
8x = -24 + -16x + 16x

Combine like terms: -16x + 16x = 0
8x = -24 + 0
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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