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

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


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

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

Multiply (-1 + 3X) * (4 + -5x)
(-1(4 + -5x) + 3X * (4 + -5x)) = (3x + -1)(2x + 6)
((4 * -1 + -5x * -1) + 3X * (4 + -5x)) = (3x + -1)(2x + 6)
((-4 + 5x) + 3X * (4 + -5x)) = (3x + -1)(2x + 6)
(-4 + 5x + (4 * 3X + -5x * 3X)) = (3x + -1)(2x + 6)
(-4 + 5x + (12X + -15xX)) = (3x + -1)(2x + 6)

Reorder the terms:
(-4 + 12X + 5x + -15xX) = (3x + -1)(2x + 6)
(-4 + 12X + 5x + -15xX) = (3x + -1)(2x + 6)

Reorder the terms:
-4 + 12X + 5x + -15xX = (-1 + 3x)(2x + 6)

Reorder the terms:
-4 + 12X + 5x + -15xX = (-1 + 3x)(6 + 2x)

Multiply (-1 + 3x) * (6 + 2x)
-4 + 12X + 5x + -15xX = (-1(6 + 2x) + 3x * (6 + 2x))
-4 + 12X + 5x + -15xX = ((6 * -1 + 2x * -1) + 3x * (6 + 2x))
-4 + 12X + 5x + -15xX = ((-6 + -2x) + 3x * (6 + 2x))
-4 + 12X + 5x + -15xX = (-6 + -2x + (6 * 3x + 2x * 3x))
-4 + 12X + 5x + -15xX = (-6 + -2x + (18x + 6x2))

Combine like terms: -2x + 18x = 16x
-4 + 12X + 5x + -15xX = (-6 + 16x + 6x2)

Solving
-4 + 12X + 5x + -15xX = -6 + 16x + 6x2

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 12X + 5x + 4 + -15xX = -6 + 16x + 4 + 6x2

Reorder the terms:
-4 + 4 + 12X + 5x + -15xX = -6 + 16x + 4 + 6x2

Combine like terms: -4 + 4 = 0
0 + 12X + 5x + -15xX = -6 + 16x + 4 + 6x2
12X + 5x + -15xX = -6 + 16x + 4 + 6x2

Reorder the terms:
12X + 5x + -15xX = -6 + 4 + 16x + 6x2

Combine like terms: -6 + 4 = -2
12X + 5x + -15xX = -2 + 16x + 6x2

Add '-5x' to each side of the equation.
12X + 5x + -5x + -15xX = -2 + 16x + -5x + 6x2

Combine like terms: 5x + -5x = 0
12X + 0 + -15xX = -2 + 16x + -5x + 6x2
12X + -15xX = -2 + 16x + -5x + 6x2

Combine like terms: 16x + -5x = 11x
12X + -15xX = -2 + 11x + 6x2

Reorder the terms:
2 + 12X + -11x + -15xX + -6x2 = -2 + 11x + 6x2 + 2 + -11x + -6x2

Reorder the terms:
2 + 12X + -11x + -15xX + -6x2 = -2 + 2 + 11x + -11x + 6x2 + -6x2

Combine like terms: -2 + 2 = 0
2 + 12X + -11x + -15xX + -6x2 = 0 + 11x + -11x + 6x2 + -6x2
2 + 12X + -11x + -15xX + -6x2 = 11x + -11x + 6x2 + -6x2

Combine like terms: 11x + -11x = 0
2 + 12X + -11x + -15xX + -6x2 = 0 + 6x2 + -6x2
2 + 12X + -11x + -15xX + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + 12X + -11x + -15xX + -6x2 = 0

The solution to this equation could not be determined.

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