(2x-5)(2x-1)=(4x+3)(x-1)

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Solution for (2x-5)(2x-1)=(4x+3)(x-1) equation: 


Simplifying
(2x + -5)(2x + -1) = (4x + 3)(x + -1)

Reorder the terms:
(-5 + 2x)(2x + -1) = (4x + 3)(x + -1)

Reorder the terms:
(-5 + 2x)(-1 + 2x) = (4x + 3)(x + -1)

Multiply (-5 + 2x) * (-1 + 2x)
(-5(-1 + 2x) + 2x * (-1 + 2x)) = (4x + 3)(x + -1)
((-1 * -5 + 2x * -5) + 2x * (-1 + 2x)) = (4x + 3)(x + -1)
((5 + -10x) + 2x * (-1 + 2x)) = (4x + 3)(x + -1)
(5 + -10x + (-1 * 2x + 2x * 2x)) = (4x + 3)(x + -1)
(5 + -10x + (-2x + 4x2)) = (4x + 3)(x + -1)

Combine like terms: -10x + -2x = -12x
(5 + -12x + 4x2) = (4x + 3)(x + -1)

Reorder the terms:
5 + -12x + 4x2 = (3 + 4x)(x + -1)

Reorder the terms:
5 + -12x + 4x2 = (3 + 4x)(-1 + x)

Multiply (3 + 4x) * (-1 + x)
5 + -12x + 4x2 = (3(-1 + x) + 4x * (-1 + x))
5 + -12x + 4x2 = ((-1 * 3 + x * 3) + 4x * (-1 + x))
5 + -12x + 4x2 = ((-3 + 3x) + 4x * (-1 + x))
5 + -12x + 4x2 = (-3 + 3x + (-1 * 4x + x * 4x))
5 + -12x + 4x2 = (-3 + 3x + (-4x + 4x2))

Combine like terms: 3x + -4x = -1x
5 + -12x + 4x2 = (-3 + -1x + 4x2)

Add '-4x2' to each side of the equation.
5 + -12x + 4x2 + -4x2 = -3 + -1x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
5 + -12x + 0 = -3 + -1x + 4x2 + -4x2
5 + -12x = -3 + -1x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
5 + -12x = -3 + -1x + 0
5 + -12x = -3 + -1x

Solving
5 + -12x = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + -12x + x = -3 + -1x + x

Combine like terms: -12x + x = -11x
5 + -11x = -3 + -1x + x

Combine like terms: -1x + x = 0
5 + -11x = -3 + 0
5 + -11x = -3

Add '-5' to each side of the equation.
5 + -5 + -11x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = -3 + -5
-11x = -3 + -5

Combine like terms: -3 + -5 = -8
-11x = -8

Divide each side by '-11'.
x = 0.7272727273

Simplifying
x = 0.7272727273

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