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

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


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

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

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

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

Combine like terms: -5x + -2x = -7x
-7x + 2x2 + 2x2 = (4x + 8)(x + -3)

Combine like terms: 2x2 + 2x2 = 4x2
-7x + 4x2 = (4x + 8)(x + -3)

Reorder the terms:
-7x + 4x2 = (8 + 4x)(x + -3)

Reorder the terms:
-7x + 4x2 = (8 + 4x)(-3 + x)

Multiply (8 + 4x) * (-3 + x)
-7x + 4x2 = (8(-3 + x) + 4x * (-3 + x))
-7x + 4x2 = ((-3 * 8 + x * 8) + 4x * (-3 + x))
-7x + 4x2 = ((-24 + 8x) + 4x * (-3 + x))
-7x + 4x2 = (-24 + 8x + (-3 * 4x + x * 4x))
-7x + 4x2 = (-24 + 8x + (-12x + 4x2))

Combine like terms: 8x + -12x = -4x
-7x + 4x2 = (-24 + -4x + 4x2)

Add '-4x2' to each side of the equation.
-7x + 4x2 + -4x2 = -24 + -4x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-7x + 0 = -24 + -4x + 4x2 + -4x2
-7x = -24 + -4x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-7x = -24 + -4x + 0
-7x = -24 + -4x

Solving
-7x = -24 + -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.
-7x + 4x = -24 + -4x + 4x

Combine like terms: -7x + 4x = -3x
-3x = -24 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3x = -24 + 0
-3x = -24

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

Simplifying
x = 8

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