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

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


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

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

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

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

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

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

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

Multiply (-4 + 6x) * (-4 + 2x)
12 + -25x + 12x2 = (-4(-4 + 2x) + 6x * (-4 + 2x))
12 + -25x + 12x2 = ((-4 * -4 + 2x * -4) + 6x * (-4 + 2x))
12 + -25x + 12x2 = ((16 + -8x) + 6x * (-4 + 2x))
12 + -25x + 12x2 = (16 + -8x + (-4 * 6x + 2x * 6x))
12 + -25x + 12x2 = (16 + -8x + (-24x + 12x2))

Combine like terms: -8x + -24x = -32x
12 + -25x + 12x2 = (16 + -32x + 12x2)

Add '-12x2' to each side of the equation.
12 + -25x + 12x2 + -12x2 = 16 + -32x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
12 + -25x + 0 = 16 + -32x + 12x2 + -12x2
12 + -25x = 16 + -32x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
12 + -25x = 16 + -32x + 0
12 + -25x = 16 + -32x

Solving
12 + -25x = 16 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
12 + -25x + 32x = 16 + -32x + 32x

Combine like terms: -25x + 32x = 7x
12 + 7x = 16 + -32x + 32x

Combine like terms: -32x + 32x = 0
12 + 7x = 16 + 0
12 + 7x = 16

Add '-12' to each side of the equation.
12 + -12 + 7x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 16 + -12
7x = 16 + -12

Combine like terms: 16 + -12 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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