(X+3)(x-1)=(2x+1)(x-1)

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


Simplifying
(X + 3)(x + -1) = (2x + 1)(x + -1)

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

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

Multiply (3 + X) * (-1 + x)
(3(-1 + x) + X(-1 + x)) = (2x + 1)(x + -1)
((-1 * 3 + x * 3) + X(-1 + x)) = (2x + 1)(x + -1)
((-3 + 3x) + X(-1 + x)) = (2x + 1)(x + -1)
(-3 + 3x + (-1 * X + x * X)) = (2x + 1)(x + -1)
(-3 + 3x + (-1X + xX)) = (2x + 1)(x + -1)

Reorder the terms:
(-3 + -1X + 3x + xX) = (2x + 1)(x + -1)
(-3 + -1X + 3x + xX) = (2x + 1)(x + -1)

Reorder the terms:
-3 + -1X + 3x + xX = (1 + 2x)(x + -1)

Reorder the terms:
-3 + -1X + 3x + xX = (1 + 2x)(-1 + x)

Multiply (1 + 2x) * (-1 + x)
-3 + -1X + 3x + xX = (1(-1 + x) + 2x * (-1 + x))
-3 + -1X + 3x + xX = ((-1 * 1 + x * 1) + 2x * (-1 + x))
-3 + -1X + 3x + xX = ((-1 + 1x) + 2x * (-1 + x))
-3 + -1X + 3x + xX = (-1 + 1x + (-1 * 2x + x * 2x))
-3 + -1X + 3x + xX = (-1 + 1x + (-2x + 2x2))

Combine like terms: 1x + -2x = -1x
-3 + -1X + 3x + xX = (-1 + -1x + 2x2)

Solving
-3 + -1X + 3x + xX = -1 + -1x + 2x2

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 + -1X + 3x + 3 + xX = -1 + -1x + 3 + 2x2

Reorder the terms:
-3 + 3 + -1X + 3x + xX = -1 + -1x + 3 + 2x2

Combine like terms: -3 + 3 = 0
0 + -1X + 3x + xX = -1 + -1x + 3 + 2x2
-1X + 3x + xX = -1 + -1x + 3 + 2x2

Reorder the terms:
-1X + 3x + xX = -1 + 3 + -1x + 2x2

Combine like terms: -1 + 3 = 2
-1X + 3x + xX = 2 + -1x + 2x2

Add '-3x' to each side of the equation.
-1X + 3x + -3x + xX = 2 + -1x + -3x + 2x2

Combine like terms: 3x + -3x = 0
-1X + 0 + xX = 2 + -1x + -3x + 2x2
-1X + xX = 2 + -1x + -3x + 2x2

Combine like terms: -1x + -3x = -4x
-1X + xX = 2 + -4x + 2x2

Reorder the terms:
-2 + -1X + 4x + xX + -2x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Reorder the terms:
-2 + -1X + 4x + xX + -2x2 = 2 + -2 + -4x + 4x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-2 + -1X + 4x + xX + -2x2 = 0 + -4x + 4x + 2x2 + -2x2
-2 + -1X + 4x + xX + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
-2 + -1X + 4x + xX + -2x2 = 0 + 2x2 + -2x2
-2 + -1X + 4x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + -1X + 4x + xX + -2x2 = 0

The solution to this equation could not be determined.

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