(x-2)(x-8)=(x+8)(x+6)

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Solution for (x-2)(x-8)=(x+8)(x+6) equation: 


Simplifying
(x + -2)(x + -8) = (x + 8)(x + 6)

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

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

Multiply (-2 + x) * (-8 + x)
(-2(-8 + x) + x(-8 + x)) = (x + 8)(x + 6)
((-8 * -2 + x * -2) + x(-8 + x)) = (x + 8)(x + 6)
((16 + -2x) + x(-8 + x)) = (x + 8)(x + 6)
(16 + -2x + (-8 * x + x * x)) = (x + 8)(x + 6)
(16 + -2x + (-8x + x2)) = (x + 8)(x + 6)

Combine like terms: -2x + -8x = -10x
(16 + -10x + x2) = (x + 8)(x + 6)

Reorder the terms:
16 + -10x + x2 = (8 + x)(x + 6)

Reorder the terms:
16 + -10x + x2 = (8 + x)(6 + x)

Multiply (8 + x) * (6 + x)
16 + -10x + x2 = (8(6 + x) + x(6 + x))
16 + -10x + x2 = ((6 * 8 + x * 8) + x(6 + x))
16 + -10x + x2 = ((48 + 8x) + x(6 + x))
16 + -10x + x2 = (48 + 8x + (6 * x + x * x))
16 + -10x + x2 = (48 + 8x + (6x + x2))

Combine like terms: 8x + 6x = 14x
16 + -10x + x2 = (48 + 14x + x2)

Add '-1x2' to each side of the equation.
16 + -10x + x2 + -1x2 = 48 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -10x + 0 = 48 + 14x + x2 + -1x2
16 + -10x = 48 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -10x = 48 + 14x + 0
16 + -10x = 48 + 14x

Solving
16 + -10x = 48 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
16 + -10x + -14x = 48 + 14x + -14x

Combine like terms: -10x + -14x = -24x
16 + -24x = 48 + 14x + -14x

Combine like terms: 14x + -14x = 0
16 + -24x = 48 + 0
16 + -24x = 48

Add '-16' to each side of the equation.
16 + -16 + -24x = 48 + -16

Combine like terms: 16 + -16 = 0
0 + -24x = 48 + -16
-24x = 48 + -16

Combine like terms: 48 + -16 = 32
-24x = 32

Divide each side by '-24'.
x = -1.333333333

Simplifying
x = -1.333333333

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