(4x-3)(3x-4)=(2x-5)(6x-4)

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Solution for (4x-3)(3x-4)=(2x-5)(6x-4) equation: 


Simplifying
(4x + -3)(3x + -4) = (2x + -5)(6x + -4)

Reorder the terms:
(-3 + 4x)(3x + -4) = (2x + -5)(6x + -4)

Reorder the terms:
(-3 + 4x)(-4 + 3x) = (2x + -5)(6x + -4)

Multiply (-3 + 4x) * (-4 + 3x)
(-3(-4 + 3x) + 4x * (-4 + 3x)) = (2x + -5)(6x + -4)
((-4 * -3 + 3x * -3) + 4x * (-4 + 3x)) = (2x + -5)(6x + -4)
((12 + -9x) + 4x * (-4 + 3x)) = (2x + -5)(6x + -4)
(12 + -9x + (-4 * 4x + 3x * 4x)) = (2x + -5)(6x + -4)
(12 + -9x + (-16x + 12x2)) = (2x + -5)(6x + -4)

Combine like terms: -9x + -16x = -25x
(12 + -25x + 12x2) = (2x + -5)(6x + -4)

Reorder the terms:
12 + -25x + 12x2 = (-5 + 2x)(6x + -4)

Reorder the terms:
12 + -25x + 12x2 = (-5 + 2x)(-4 + 6x)

Multiply (-5 + 2x) * (-4 + 6x)
12 + -25x + 12x2 = (-5(-4 + 6x) + 2x * (-4 + 6x))
12 + -25x + 12x2 = ((-4 * -5 + 6x * -5) + 2x * (-4 + 6x))
12 + -25x + 12x2 = ((20 + -30x) + 2x * (-4 + 6x))
12 + -25x + 12x2 = (20 + -30x + (-4 * 2x + 6x * 2x))
12 + -25x + 12x2 = (20 + -30x + (-8x + 12x2))

Combine like terms: -30x + -8x = -38x
12 + -25x + 12x2 = (20 + -38x + 12x2)

Add '-12x2' to each side of the equation.
12 + -25x + 12x2 + -12x2 = 20 + -38x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
12 + -25x + 0 = 20 + -38x + 12x2 + -12x2
12 + -25x = 20 + -38x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
12 + -25x = 20 + -38x + 0
12 + -25x = 20 + -38x

Solving
12 + -25x = 20 + -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
12 + -25x + 38x = 20 + -38x + 38x

Combine like terms: -25x + 38x = 13x
12 + 13x = 20 + -38x + 38x

Combine like terms: -38x + 38x = 0
12 + 13x = 20 + 0
12 + 13x = 20

Add '-12' to each side of the equation.
12 + -12 + 13x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 13x = 20 + -12
13x = 20 + -12

Combine like terms: 20 + -12 = 8
13x = 8

Divide each side by '13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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