(X+5)(x-1)=(2x+7)(x-1)

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Solution for (X+5)(x-1)=(2x+7)(x-1) equation: 


Simplifying
(X + 5)(x + -1) = (2x + 7)(x + -1)

Reorder the terms:
(5 + X)(x + -1) = (2x + 7)(x + -1)

Reorder the terms:
(5 + X)(-1 + x) = (2x + 7)(x + -1)

Multiply (5 + X) * (-1 + x)
(5(-1 + x) + X(-1 + x)) = (2x + 7)(x + -1)
((-1 * 5 + x * 5) + X(-1 + x)) = (2x + 7)(x + -1)
((-5 + 5x) + X(-1 + x)) = (2x + 7)(x + -1)
(-5 + 5x + (-1 * X + x * X)) = (2x + 7)(x + -1)
(-5 + 5x + (-1X + xX)) = (2x + 7)(x + -1)

Reorder the terms:
(-5 + -1X + 5x + xX) = (2x + 7)(x + -1)
(-5 + -1X + 5x + xX) = (2x + 7)(x + -1)

Reorder the terms:
-5 + -1X + 5x + xX = (7 + 2x)(x + -1)

Reorder the terms:
-5 + -1X + 5x + xX = (7 + 2x)(-1 + x)

Multiply (7 + 2x) * (-1 + x)
-5 + -1X + 5x + xX = (7(-1 + x) + 2x * (-1 + x))
-5 + -1X + 5x + xX = ((-1 * 7 + x * 7) + 2x * (-1 + x))
-5 + -1X + 5x + xX = ((-7 + 7x) + 2x * (-1 + x))
-5 + -1X + 5x + xX = (-7 + 7x + (-1 * 2x + x * 2x))
-5 + -1X + 5x + xX = (-7 + 7x + (-2x + 2x2))

Combine like terms: 7x + -2x = 5x
-5 + -1X + 5x + xX = (-7 + 5x + 2x2)

Add '-5x' to each side of the equation.
-5 + -1X + 5x + -5x + xX = -7 + 5x + -5x + 2x2

Combine like terms: 5x + -5x = 0
-5 + -1X + 0 + xX = -7 + 5x + -5x + 2x2
-5 + -1X + xX = -7 + 5x + -5x + 2x2

Combine like terms: 5x + -5x = 0
-5 + -1X + xX = -7 + 0 + 2x2
-5 + -1X + xX = -7 + 2x2

Solving
-5 + -1X + xX = -7 + 2x2

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + -1X + 5 + xX = -7 + 5 + 2x2

Reorder the terms:
-5 + 5 + -1X + xX = -7 + 5 + 2x2

Combine like terms: -5 + 5 = 0
0 + -1X + xX = -7 + 5 + 2x2
-1X + xX = -7 + 5 + 2x2

Combine like terms: -7 + 5 = -2
-1X + xX = -2 + 2x2

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

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

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

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

The solution to this equation could not be determined.

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