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

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


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

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

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

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

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

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

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

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 + -1x + 3 + xX = -5 + 3 + 5x

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

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

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

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

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

Combine like terms: 5x + x = 6x
3X + xX = -2 + 6x

Reorder the terms:
2 + 3X + -6x + xX = -2 + 6x + 2 + -6x

Reorder the terms:
2 + 3X + -6x + xX = -2 + 2 + 6x + -6x

Combine like terms: -2 + 2 = 0
2 + 3X + -6x + xX = 0 + 6x + -6x
2 + 3X + -6x + xX = 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 3X + -6x + xX = 0

The solution to this equation could not be determined.

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