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

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


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

Multiply (5 + -2x) * (4 + -6x)
(5(4 + -6x) + -2x * (4 + -6x)) = (3x + -4)(4x + -3)
((4 * 5 + -6x * 5) + -2x * (4 + -6x)) = (3x + -4)(4x + -3)
((20 + -30x) + -2x * (4 + -6x)) = (3x + -4)(4x + -3)
(20 + -30x + (4 * -2x + -6x * -2x)) = (3x + -4)(4x + -3)
(20 + -30x + (-8x + 12x2)) = (3x + -4)(4x + -3)

Combine like terms: -30x + -8x = -38x
(20 + -38x + 12x2) = (3x + -4)(4x + -3)

Reorder the terms:
20 + -38x + 12x2 = (-4 + 3x)(4x + -3)

Reorder the terms:
20 + -38x + 12x2 = (-4 + 3x)(-3 + 4x)

Multiply (-4 + 3x) * (-3 + 4x)
20 + -38x + 12x2 = (-4(-3 + 4x) + 3x * (-3 + 4x))
20 + -38x + 12x2 = ((-3 * -4 + 4x * -4) + 3x * (-3 + 4x))
20 + -38x + 12x2 = ((12 + -16x) + 3x * (-3 + 4x))
20 + -38x + 12x2 = (12 + -16x + (-3 * 3x + 4x * 3x))
20 + -38x + 12x2 = (12 + -16x + (-9x + 12x2))

Combine like terms: -16x + -9x = -25x
20 + -38x + 12x2 = (12 + -25x + 12x2)

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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -25x + 25x = 0
20 + -13x = 12 + 0
20 + -13x = 12

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

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

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

Divide each side by '-13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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