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

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


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

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

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

Multiply (8 + x) * (-2 + x)
(8(-2 + x) + x(-2 + x)) = (x + 2)(x + 2)
((-2 * 8 + x * 8) + x(-2 + x)) = (x + 2)(x + 2)
((-16 + 8x) + x(-2 + x)) = (x + 2)(x + 2)
(-16 + 8x + (-2 * x + x * x)) = (x + 2)(x + 2)
(-16 + 8x + (-2x + x2)) = (x + 2)(x + 2)

Combine like terms: 8x + -2x = 6x
(-16 + 6x + x2) = (x + 2)(x + 2)

Reorder the terms:
-16 + 6x + x2 = (2 + x)(x + 2)

Reorder the terms:
-16 + 6x + x2 = (2 + x)(2 + x)

Multiply (2 + x) * (2 + x)
-16 + 6x + x2 = (2(2 + x) + x(2 + x))
-16 + 6x + x2 = ((2 * 2 + x * 2) + x(2 + x))
-16 + 6x + x2 = ((4 + 2x) + x(2 + x))
-16 + 6x + x2 = (4 + 2x + (2 * x + x * x))
-16 + 6x + x2 = (4 + 2x + (2x + x2))

Combine like terms: 2x + 2x = 4x
-16 + 6x + x2 = (4 + 4x + x2)

Add '-1x2' to each side of the equation.
-16 + 6x + x2 + -1x2 = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 6x + 0 = 4 + 4x + x2 + -1x2
-16 + 6x = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 6x = 4 + 4x + 0
-16 + 6x = 4 + 4x

Solving
-16 + 6x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 6x + -4x = 4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-16 + 2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 2x = 4 + 0
-16 + 2x = 4

Add '16' to each side of the equation.
-16 + 16 + 2x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 4 + 16
2x = 4 + 16

Combine like terms: 4 + 16 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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