(x+7)(x-1)=(2x+8)(x-1)

Solution for (x+7)(x-1)=(2x+8)(x-1) equation:

Simplifying
(x + 7)(x + -1) = (2x + 8)(x + -1)

Reorder the terms:
(7 + x)(x + -1) = (2x + 8)(x + -1)

Reorder the terms:
(7 + x)(-1 + x) = (2x + 8)(x + -1)

Multiply (7 + x) * (-1 + x)
(7(-1 + x) + x(-1 + x)) = (2x + 8)(x + -1)
((-1 * 7 + x * 7) + x(-1 + x)) = (2x + 8)(x + -1)
((-7 + 7x) + x(-1 + x)) = (2x + 8)(x + -1)
(-7 + 7x + (-1 * x + x * x)) = (2x + 8)(x + -1)
(-7 + 7x + (-1x + x2)) = (2x + 8)(x + -1)

Combine like terms: 7x + -1x = 6x
(-7 + 6x + x2) = (2x + 8)(x + -1)

Reorder the terms:
-7 + 6x + x2 = (8 + 2x)(x + -1)

Reorder the terms:
-7 + 6x + x2 = (8 + 2x)(-1 + x)

Multiply (8 + 2x) * (-1 + x)
-7 + 6x + x2 = (8(-1 + x) + 2x * (-1 + x))
-7 + 6x + x2 = ((-1 * 8 + x * 8) + 2x * (-1 + x))
-7 + 6x + x2 = ((-8 + 8x) + 2x * (-1 + x))
-7 + 6x + x2 = (-8 + 8x + (-1 * 2x + x * 2x))
-7 + 6x + x2 = (-8 + 8x + (-2x + 2x2))

Combine like terms: 8x + -2x = 6x
-7 + 6x + x2 = (-8 + 6x + 2x2)

Add '-6x' to each side of the equation.
-7 + 6x + -6x + x2 = -8 + 6x + -6x + 2x2

Combine like terms: 6x + -6x = 0
-7 + 0 + x2 = -8 + 6x + -6x + 2x2
-7 + x2 = -8 + 6x + -6x + 2x2

Combine like terms: 6x + -6x = 0
-7 + x2 = -8 + 0 + 2x2
-7 + x2 = -8 + 2x2

Solving
-7 + x2 = -8 + 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.
-7 + x2 + -2x2 = -8 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
-7 + -1x2 = -8 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + -1x2 = -8 + 0
-7 + -1x2 = -8

Add '7' to each side of the equation.
-7 + 7 + -1x2 = -8 + 7

Combine like terms: -7 + 7 = 0
0 + -1x2 = -8 + 7
-1x2 = -8 + 7

Combine like terms: -8 + 7 = -1
-1x2 = -1

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

Simplifying
x2 = 1

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