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

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

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

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

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

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

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

Reorder the terms:
-1 + -1X + 1x + xX = 2(-5 + 5x)
-1 + -1X + 1x + xX = (-5 * 2 + 5x * 2)
-1 + -1X + 1x + xX = (-10 + 10x)

Solving
-1 + -1X + 1x + xX = -10 + 10x

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 + 1x + 1 + xX = -10 + 1 + 10x

Reorder the terms:
-1 + 1 + -1X + 1x + xX = -10 + 1 + 10x

Combine like terms: -1 + 1 = 0
0 + -1X + 1x + xX = -10 + 1 + 10x
-1X + 1x + xX = -10 + 1 + 10x

Combine like terms: -10 + 1 = -9
-1X + 1x + xX = -9 + 10x

Add '-1x' to each side of the equation.
-1X + 1x + -1x + xX = -9 + 10x + -1x

Combine like terms: 1x + -1x = 0
-1X + 0 + xX = -9 + 10x + -1x
-1X + xX = -9 + 10x + -1x

Combine like terms: 10x + -1x = 9x
-1X + xX = -9 + 9x

Reorder the terms:
9 + -1X + -9x + xX = -9 + 9x + 9 + -9x

Reorder the terms:
9 + -1X + -9x + xX = -9 + 9 + 9x + -9x

Combine like terms: -9 + 9 = 0
9 + -1X + -9x + xX = 0 + 9x + -9x
9 + -1X + -9x + xX = 9x + -9x

Combine like terms: 9x + -9x = 0
9 + -1X + -9x + xX = 0

The solution to this equation could not be determined.