(x+5)(x-1)=(2x+6)(x-1)

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Solution for (x+5)(x-1)=(2x+6)(x-1) equation: 


Simplifying
(x + 5)(x + -1) = (2x + 6)(x + -1)

Reorder the terms:
(5 + x)(x + -1) = (2x + 6)(x + -1)

Reorder the terms:
(5 + x)(-1 + x) = (2x + 6)(x + -1)

Multiply (5 + x) * (-1 + x)
(5(-1 + x) + x(-1 + x)) = (2x + 6)(x + -1)
((-1 * 5 + x * 5) + x(-1 + x)) = (2x + 6)(x + -1)
((-5 + 5x) + x(-1 + x)) = (2x + 6)(x + -1)
(-5 + 5x + (-1 * x + x * x)) = (2x + 6)(x + -1)
(-5 + 5x + (-1x + x2)) = (2x + 6)(x + -1)

Combine like terms: 5x + -1x = 4x
(-5 + 4x + x2) = (2x + 6)(x + -1)

Reorder the terms:
-5 + 4x + x2 = (6 + 2x)(x + -1)

Reorder the terms:
-5 + 4x + x2 = (6 + 2x)(-1 + x)

Multiply (6 + 2x) * (-1 + x)
-5 + 4x + x2 = (6(-1 + x) + 2x * (-1 + x))
-5 + 4x + x2 = ((-1 * 6 + x * 6) + 2x * (-1 + x))
-5 + 4x + x2 = ((-6 + 6x) + 2x * (-1 + x))
-5 + 4x + x2 = (-6 + 6x + (-1 * 2x + x * 2x))
-5 + 4x + x2 = (-6 + 6x + (-2x + 2x2))

Combine like terms: 6x + -2x = 4x
-5 + 4x + x2 = (-6 + 4x + 2x2)

Add '-4x' to each side of the equation.
-5 + 4x + -4x + x2 = -6 + 4x + -4x + 2x2

Combine like terms: 4x + -4x = 0
-5 + 0 + x2 = -6 + 4x + -4x + 2x2
-5 + x2 = -6 + 4x + -4x + 2x2

Combine like terms: 4x + -4x = 0
-5 + x2 = -6 + 0 + 2x2
-5 + x2 = -6 + 2x2

Solving
-5 + x2 = -6 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-5 + x2 + -2x2 = -6 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
-5 + -1x2 = -6 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + -1x2 = -6 + 0
-5 + -1x2 = -6

Add '5' to each side of the equation.
-5 + 5 + -1x2 = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -1x2 = -6 + 5
-1x2 = -6 + 5

Combine like terms: -6 + 5 = -1
-1x2 = -1

Divide each side by '-1'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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