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

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


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

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

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

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

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

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

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

Combine like terms: -2 + -3 = -5
1 + -4x + 4x2 = (-5 + 4x) * x

Reorder the terms for easier multiplication:
1 + -4x + 4x2 = x(-5 + 4x)
1 + -4x + 4x2 = (-5 * x + 4x * x)
1 + -4x + 4x2 = (-5x + 4x2)

Add '-4x2' to each side of the equation.
1 + -4x + 4x2 + -4x2 = -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1 + -4x + 0 = -5x + 4x2 + -4x2
1 + -4x = -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1 + -4x = -5x + 0
1 + -4x = -5x

Solving
1 + -4x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + -4x + 5x = -5x + 5x

Combine like terms: -4x + 5x = 1x
1 + 1x = -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 1x = 0

Add '-1' to each side of the equation.
1 + -1 + 1x = 0 + -1

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

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

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

Simplifying
x = -1

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