(X+2)(6x-4)=(2x-1)(3x+5)

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Solution for (X+2)(6x-4)=(2x-1)(3x+5) equation: 


Simplifying
(X + 2)(6x + -4) = (2x + -1)(3x + 5)

Reorder the terms:
(2 + X)(6x + -4) = (2x + -1)(3x + 5)

Reorder the terms:
(2 + X)(-4 + 6x) = (2x + -1)(3x + 5)

Multiply (2 + X) * (-4 + 6x)
(2(-4 + 6x) + X(-4 + 6x)) = (2x + -1)(3x + 5)
((-4 * 2 + 6x * 2) + X(-4 + 6x)) = (2x + -1)(3x + 5)
((-8 + 12x) + X(-4 + 6x)) = (2x + -1)(3x + 5)
(-8 + 12x + (-4 * X + 6x * X)) = (2x + -1)(3x + 5)
(-8 + 12x + (-4X + 6xX)) = (2x + -1)(3x + 5)

Reorder the terms:
(-8 + -4X + 12x + 6xX) = (2x + -1)(3x + 5)
(-8 + -4X + 12x + 6xX) = (2x + -1)(3x + 5)

Reorder the terms:
-8 + -4X + 12x + 6xX = (-1 + 2x)(3x + 5)

Reorder the terms:
-8 + -4X + 12x + 6xX = (-1 + 2x)(5 + 3x)

Multiply (-1 + 2x) * (5 + 3x)
-8 + -4X + 12x + 6xX = (-1(5 + 3x) + 2x * (5 + 3x))
-8 + -4X + 12x + 6xX = ((5 * -1 + 3x * -1) + 2x * (5 + 3x))
-8 + -4X + 12x + 6xX = ((-5 + -3x) + 2x * (5 + 3x))
-8 + -4X + 12x + 6xX = (-5 + -3x + (5 * 2x + 3x * 2x))
-8 + -4X + 12x + 6xX = (-5 + -3x + (10x + 6x2))

Combine like terms: -3x + 10x = 7x
-8 + -4X + 12x + 6xX = (-5 + 7x + 6x2)

Solving
-8 + -4X + 12x + 6xX = -5 + 7x + 6x2

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -4X + 12x + 8 + 6xX = -5 + 7x + 8 + 6x2

Reorder the terms:
-8 + 8 + -4X + 12x + 6xX = -5 + 7x + 8 + 6x2

Combine like terms: -8 + 8 = 0
0 + -4X + 12x + 6xX = -5 + 7x + 8 + 6x2
-4X + 12x + 6xX = -5 + 7x + 8 + 6x2

Reorder the terms:
-4X + 12x + 6xX = -5 + 8 + 7x + 6x2

Combine like terms: -5 + 8 = 3
-4X + 12x + 6xX = 3 + 7x + 6x2

Add '-12x' to each side of the equation.
-4X + 12x + -12x + 6xX = 3 + 7x + -12x + 6x2

Combine like terms: 12x + -12x = 0
-4X + 0 + 6xX = 3 + 7x + -12x + 6x2
-4X + 6xX = 3 + 7x + -12x + 6x2

Combine like terms: 7x + -12x = -5x
-4X + 6xX = 3 + -5x + 6x2

Reorder the terms:
-3 + -4X + 5x + 6xX + -6x2 = 3 + -5x + 6x2 + -3 + 5x + -6x2

Reorder the terms:
-3 + -4X + 5x + 6xX + -6x2 = 3 + -3 + -5x + 5x + 6x2 + -6x2

Combine like terms: 3 + -3 = 0
-3 + -4X + 5x + 6xX + -6x2 = 0 + -5x + 5x + 6x2 + -6x2
-3 + -4X + 5x + 6xX + -6x2 = -5x + 5x + 6x2 + -6x2

Combine like terms: -5x + 5x = 0
-3 + -4X + 5x + 6xX + -6x2 = 0 + 6x2 + -6x2
-3 + -4X + 5x + 6xX + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-3 + -4X + 5x + 6xX + -6x2 = 0

The solution to this equation could not be determined.

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