6x-(2x-1)(2x+1)=2-(3+2x)(3+2x)

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Solution for 6x-(2x-1)(2x+1)=2-(3+2x)(3+2x) equation: 


Simplifying
6x + -1(2x + -1)(2x + 1) = 2 + -1(3 + 2x)(3 + 2x)

Reorder the terms:
6x + -1(-1 + 2x)(2x + 1) = 2 + -1(3 + 2x)(3 + 2x)

Reorder the terms:
6x + -1(-1 + 2x)(1 + 2x) = 2 + -1(3 + 2x)(3 + 2x)

Multiply (-1 + 2x) * (1 + 2x)
6x + -1(-1(1 + 2x) + 2x * (1 + 2x)) = 2 + -1(3 + 2x)(3 + 2x)
6x + -1((1 * -1 + 2x * -1) + 2x * (1 + 2x)) = 2 + -1(3 + 2x)(3 + 2x)
6x + -1((-1 + -2x) + 2x * (1 + 2x)) = 2 + -1(3 + 2x)(3 + 2x)
6x + -1(-1 + -2x + (1 * 2x + 2x * 2x)) = 2 + -1(3 + 2x)(3 + 2x)
6x + -1(-1 + -2x + (2x + 4x2)) = 2 + -1(3 + 2x)(3 + 2x)

Combine like terms: -2x + 2x = 0
6x + -1(-1 + 0 + 4x2) = 2 + -1(3 + 2x)(3 + 2x)
6x + -1(-1 + 4x2) = 2 + -1(3 + 2x)(3 + 2x)
6x + (-1 * -1 + 4x2 * -1) = 2 + -1(3 + 2x)(3 + 2x)
6x + (1 + -4x2) = 2 + -1(3 + 2x)(3 + 2x)

Reorder the terms:
1 + 6x + -4x2 = 2 + -1(3 + 2x)(3 + 2x)

Multiply (3 + 2x) * (3 + 2x)
1 + 6x + -4x2 = 2 + -1(3(3 + 2x) + 2x * (3 + 2x))
1 + 6x + -4x2 = 2 + -1((3 * 3 + 2x * 3) + 2x * (3 + 2x))
1 + 6x + -4x2 = 2 + -1((9 + 6x) + 2x * (3 + 2x))
1 + 6x + -4x2 = 2 + -1(9 + 6x + (3 * 2x + 2x * 2x))
1 + 6x + -4x2 = 2 + -1(9 + 6x + (6x + 4x2))

Combine like terms: 6x + 6x = 12x
1 + 6x + -4x2 = 2 + -1(9 + 12x + 4x2)
1 + 6x + -4x2 = 2 + (9 * -1 + 12x * -1 + 4x2 * -1)
1 + 6x + -4x2 = 2 + (-9 + -12x + -4x2)

Combine like terms: 2 + -9 = -7
1 + 6x + -4x2 = -7 + -12x + -4x2

Add '4x2' to each side of the equation.
1 + 6x + -4x2 + 4x2 = -7 + -12x + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
1 + 6x + 0 = -7 + -12x + -4x2 + 4x2
1 + 6x = -7 + -12x + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
1 + 6x = -7 + -12x + 0
1 + 6x = -7 + -12x

Solving
1 + 6x = -7 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
1 + 6x + 12x = -7 + -12x + 12x

Combine like terms: 6x + 12x = 18x
1 + 18x = -7 + -12x + 12x

Combine like terms: -12x + 12x = 0
1 + 18x = -7 + 0
1 + 18x = -7

Add '-1' to each side of the equation.
1 + -1 + 18x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 18x = -7 + -1
18x = -7 + -1

Combine like terms: -7 + -1 = -8
18x = -8

Divide each side by '18'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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