4x(x-2)-4(x+2)(x-2)=x-20(x+2)

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Solution for 4x(x-2)-4(x+2)(x-2)=x-20(x+2) equation: 


Simplifying
4x(x + -2) + -4(x + 2)(x + -2) = x + -20(x + 2)

Reorder the terms:
4x(-2 + x) + -4(x + 2)(x + -2) = x + -20(x + 2)
(-2 * 4x + x * 4x) + -4(x + 2)(x + -2) = x + -20(x + 2)
(-8x + 4x2) + -4(x + 2)(x + -2) = x + -20(x + 2)

Reorder the terms:
-8x + 4x2 + -4(2 + x)(x + -2) = x + -20(x + 2)

Reorder the terms:
-8x + 4x2 + -4(2 + x)(-2 + x) = x + -20(x + 2)

Multiply (2 + x) * (-2 + x)
-8x + 4x2 + -4(2(-2 + x) + x(-2 + x)) = x + -20(x + 2)
-8x + 4x2 + -4((-2 * 2 + x * 2) + x(-2 + x)) = x + -20(x + 2)
-8x + 4x2 + -4((-4 + 2x) + x(-2 + x)) = x + -20(x + 2)
-8x + 4x2 + -4(-4 + 2x + (-2 * x + x * x)) = x + -20(x + 2)
-8x + 4x2 + -4(-4 + 2x + (-2x + x2)) = x + -20(x + 2)

Combine like terms: 2x + -2x = 0
-8x + 4x2 + -4(-4 + 0 + x2) = x + -20(x + 2)
-8x + 4x2 + -4(-4 + x2) = x + -20(x + 2)
-8x + 4x2 + (-4 * -4 + x2 * -4) = x + -20(x + 2)
-8x + 4x2 + (16 + -4x2) = x + -20(x + 2)

Reorder the terms:
16 + -8x + 4x2 + -4x2 = x + -20(x + 2)

Combine like terms: 4x2 + -4x2 = 0
16 + -8x + 0 = x + -20(x + 2)
16 + -8x = x + -20(x + 2)

Reorder the terms:
16 + -8x = x + -20(2 + x)
16 + -8x = x + (2 * -20 + x * -20)
16 + -8x = x + (-40 + -20x)

Reorder the terms:
16 + -8x = -40 + x + -20x

Combine like terms: x + -20x = -19x
16 + -8x = -40 + -19x

Solving
16 + -8x = -40 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
16 + -8x + 19x = -40 + -19x + 19x

Combine like terms: -8x + 19x = 11x
16 + 11x = -40 + -19x + 19x

Combine like terms: -19x + 19x = 0
16 + 11x = -40 + 0
16 + 11x = -40

Add '-16' to each side of the equation.
16 + -16 + 11x = -40 + -16

Combine like terms: 16 + -16 = 0
0 + 11x = -40 + -16
11x = -40 + -16

Combine like terms: -40 + -16 = -56
11x = -56

Divide each side by '11'.
x = -5.090909091

Simplifying
x = -5.090909091

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