(X-1)*(5x+3)=(3x-8)*(x-1)

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Solution for (X-1)*(5x+3)=(3x-8)*(x-1) equation: 


Simplifying
(X + -1)(5x + 3) = (3x + -8)(x + -1)

Reorder the terms:
(-1 + X)(5x + 3) = (3x + -8)(x + -1)

Reorder the terms:
(-1 + X)(3 + 5x) = (3x + -8)(x + -1)

Multiply (-1 + X) * (3 + 5x)
(-1(3 + 5x) + X(3 + 5x)) = (3x + -8)(x + -1)
((3 * -1 + 5x * -1) + X(3 + 5x)) = (3x + -8)(x + -1)
((-3 + -5x) + X(3 + 5x)) = (3x + -8)(x + -1)
(-3 + -5x + (3 * X + 5x * X)) = (3x + -8)(x + -1)
(-3 + -5x + (3X + 5xX)) = (3x + -8)(x + -1)

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

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

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

Multiply (-8 + 3x) * (-1 + x)
-3 + 3X + -5x + 5xX = (-8(-1 + x) + 3x * (-1 + x))
-3 + 3X + -5x + 5xX = ((-1 * -8 + x * -8) + 3x * (-1 + x))
-3 + 3X + -5x + 5xX = ((8 + -8x) + 3x * (-1 + x))
-3 + 3X + -5x + 5xX = (8 + -8x + (-1 * 3x + x * 3x))
-3 + 3X + -5x + 5xX = (8 + -8x + (-3x + 3x2))

Combine like terms: -8x + -3x = -11x
-3 + 3X + -5x + 5xX = (8 + -11x + 3x2)

Solving
-3 + 3X + -5x + 5xX = 8 + -11x + 3x2

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3X + -5x + 3 + 5xX = 8 + -11x + 3 + 3x2

Reorder the terms:
-3 + 3 + 3X + -5x + 5xX = 8 + -11x + 3 + 3x2

Combine like terms: -3 + 3 = 0
0 + 3X + -5x + 5xX = 8 + -11x + 3 + 3x2
3X + -5x + 5xX = 8 + -11x + 3 + 3x2

Reorder the terms:
3X + -5x + 5xX = 8 + 3 + -11x + 3x2

Combine like terms: 8 + 3 = 11
3X + -5x + 5xX = 11 + -11x + 3x2

Add '5x' to each side of the equation.
3X + -5x + 5x + 5xX = 11 + -11x + 5x + 3x2

Combine like terms: -5x + 5x = 0
3X + 0 + 5xX = 11 + -11x + 5x + 3x2
3X + 5xX = 11 + -11x + 5x + 3x2

Combine like terms: -11x + 5x = -6x
3X + 5xX = 11 + -6x + 3x2

Reorder the terms:
-11 + 3X + 6x + 5xX + -3x2 = 11 + -6x + 3x2 + -11 + 6x + -3x2

Reorder the terms:
-11 + 3X + 6x + 5xX + -3x2 = 11 + -11 + -6x + 6x + 3x2 + -3x2

Combine like terms: 11 + -11 = 0
-11 + 3X + 6x + 5xX + -3x2 = 0 + -6x + 6x + 3x2 + -3x2
-11 + 3X + 6x + 5xX + -3x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
-11 + 3X + 6x + 5xX + -3x2 = 0 + 3x2 + -3x2
-11 + 3X + 6x + 5xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-11 + 3X + 6x + 5xX + -3x2 = 0

The solution to this equation could not be determined.

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