2(4x-2)(x-1)-4(x+1)(x+2)=4x^2+20

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Solution for 2(4x-2)(x-1)-4(x+1)(x+2)=4x^2+20 equation: 


Simplifying
2(4x + -2)(x + -1) + -4(x + 1)(x + 2) = 4x2 + 20

Reorder the terms:
2(-2 + 4x)(x + -1) + -4(x + 1)(x + 2) = 4x2 + 20

Reorder the terms:
2(-2 + 4x)(-1 + x) + -4(x + 1)(x + 2) = 4x2 + 20

Multiply (-2 + 4x) * (-1 + x)
2(-2(-1 + x) + 4x * (-1 + x)) + -4(x + 1)(x + 2) = 4x2 + 20
2((-1 * -2 + x * -2) + 4x * (-1 + x)) + -4(x + 1)(x + 2) = 4x2 + 20
2((2 + -2x) + 4x * (-1 + x)) + -4(x + 1)(x + 2) = 4x2 + 20
2(2 + -2x + (-1 * 4x + x * 4x)) + -4(x + 1)(x + 2) = 4x2 + 20
2(2 + -2x + (-4x + 4x2)) + -4(x + 1)(x + 2) = 4x2 + 20

Combine like terms: -2x + -4x = -6x
2(2 + -6x + 4x2) + -4(x + 1)(x + 2) = 4x2 + 20
(2 * 2 + -6x * 2 + 4x2 * 2) + -4(x + 1)(x + 2) = 4x2 + 20
(4 + -12x + 8x2) + -4(x + 1)(x + 2) = 4x2 + 20

Reorder the terms:
4 + -12x + 8x2 + -4(1 + x)(x + 2) = 4x2 + 20

Reorder the terms:
4 + -12x + 8x2 + -4(1 + x)(2 + x) = 4x2 + 20

Multiply (1 + x) * (2 + x)
4 + -12x + 8x2 + -4(1(2 + x) + x(2 + x)) = 4x2 + 20
4 + -12x + 8x2 + -4((2 * 1 + x * 1) + x(2 + x)) = 4x2 + 20
4 + -12x + 8x2 + -4((2 + 1x) + x(2 + x)) = 4x2 + 20
4 + -12x + 8x2 + -4(2 + 1x + (2 * x + x * x)) = 4x2 + 20
4 + -12x + 8x2 + -4(2 + 1x + (2x + x2)) = 4x2 + 20

Combine like terms: 1x + 2x = 3x
4 + -12x + 8x2 + -4(2 + 3x + x2) = 4x2 + 20
4 + -12x + 8x2 + (2 * -4 + 3x * -4 + x2 * -4) = 4x2 + 20
4 + -12x + 8x2 + (-8 + -12x + -4x2) = 4x2 + 20

Reorder the terms:
4 + -8 + -12x + -12x + 8x2 + -4x2 = 4x2 + 20

Combine like terms: 4 + -8 = -4
-4 + -12x + -12x + 8x2 + -4x2 = 4x2 + 20

Combine like terms: -12x + -12x = -24x
-4 + -24x + 8x2 + -4x2 = 4x2 + 20

Combine like terms: 8x2 + -4x2 = 4x2
-4 + -24x + 4x2 = 4x2 + 20

Reorder the terms:
-4 + -24x + 4x2 = 20 + 4x2

Add '-4x2' to each side of the equation.
-4 + -24x + 4x2 + -4x2 = 20 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4 + -24x + 0 = 20 + 4x2 + -4x2
-4 + -24x = 20 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4 + -24x = 20 + 0
-4 + -24x = 20

Solving
-4 + -24x = 20

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -24x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + -24x = 20 + 4
-24x = 20 + 4

Combine like terms: 20 + 4 = 24
-24x = 24

Divide each side by '-24'.
x = -1

Simplifying
x = -1

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