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

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


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

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

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

Multiply (5 + X) * (1 + x)
(5(1 + x) + X(1 + x)) + -4 = (x + -1)(x + 3)
((1 * 5 + x * 5) + X(1 + x)) + -4 = (x + -1)(x + 3)
((5 + 5x) + X(1 + x)) + -4 = (x + -1)(x + 3)
(5 + 5x + (1 * X + x * X)) + -4 = (x + -1)(x + 3)
(5 + 5x + (1X + xX)) + -4 = (x + -1)(x + 3)

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

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

Combine like terms: 5 + -4 = 1
1 + 1X + 5x + xX = (x + -1)(x + 3)

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

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

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

Combine like terms: -1x + 3x = 2x
1 + 1X + 5x + xX = (-3 + 2x + x2)

Solving
1 + 1X + 5x + xX = -3 + 2x + x2

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + 1X + 5x + -1 + xX = -3 + 2x + -1 + x2

Reorder the terms:
1 + -1 + 1X + 5x + xX = -3 + 2x + -1 + x2

Combine like terms: 1 + -1 = 0
0 + 1X + 5x + xX = -3 + 2x + -1 + x2
1X + 5x + xX = -3 + 2x + -1 + x2

Reorder the terms:
1X + 5x + xX = -3 + -1 + 2x + x2

Combine like terms: -3 + -1 = -4
1X + 5x + xX = -4 + 2x + x2

Add '-5x' to each side of the equation.
1X + 5x + -5x + xX = -4 + 2x + -5x + x2

Combine like terms: 5x + -5x = 0
1X + 0 + xX = -4 + 2x + -5x + x2
1X + xX = -4 + 2x + -5x + x2

Combine like terms: 2x + -5x = -3x
1X + xX = -4 + -3x + x2

Reorder the terms:
4 + 1X + 3x + xX + -1x2 = -4 + -3x + x2 + 4 + 3x + -1x2

Reorder the terms:
4 + 1X + 3x + xX + -1x2 = -4 + 4 + -3x + 3x + x2 + -1x2

Combine like terms: -4 + 4 = 0
4 + 1X + 3x + xX + -1x2 = 0 + -3x + 3x + x2 + -1x2
4 + 1X + 3x + xX + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
4 + 1X + 3x + xX + -1x2 = 0 + x2 + -1x2
4 + 1X + 3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 1X + 3x + xX + -1x2 = 0

The solution to this equation could not be determined.

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