(x-4)(x-8)=(x-2)(x-6)

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Solution for (x-4)(x-8)=(x-2)(x-6) equation: 


Simplifying
(x + -4)(x + -8) = (x + -2)(x + -6)

Reorder the terms:
(-4 + x)(x + -8) = (x + -2)(x + -6)

Reorder the terms:
(-4 + x)(-8 + x) = (x + -2)(x + -6)

Multiply (-4 + x) * (-8 + x)
(-4(-8 + x) + x(-8 + x)) = (x + -2)(x + -6)
((-8 * -4 + x * -4) + x(-8 + x)) = (x + -2)(x + -6)
((32 + -4x) + x(-8 + x)) = (x + -2)(x + -6)
(32 + -4x + (-8 * x + x * x)) = (x + -2)(x + -6)
(32 + -4x + (-8x + x2)) = (x + -2)(x + -6)

Combine like terms: -4x + -8x = -12x
(32 + -12x + x2) = (x + -2)(x + -6)

Reorder the terms:
32 + -12x + x2 = (-2 + x)(x + -6)

Reorder the terms:
32 + -12x + x2 = (-2 + x)(-6 + x)

Multiply (-2 + x) * (-6 + x)
32 + -12x + x2 = (-2(-6 + x) + x(-6 + x))
32 + -12x + x2 = ((-6 * -2 + x * -2) + x(-6 + x))
32 + -12x + x2 = ((12 + -2x) + x(-6 + x))
32 + -12x + x2 = (12 + -2x + (-6 * x + x * x))
32 + -12x + x2 = (12 + -2x + (-6x + x2))

Combine like terms: -2x + -6x = -8x
32 + -12x + x2 = (12 + -8x + x2)

Add '-1x2' to each side of the equation.
32 + -12x + x2 + -1x2 = 12 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
32 + -12x + 0 = 12 + -8x + x2 + -1x2
32 + -12x = 12 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
32 + -12x = 12 + -8x + 0
32 + -12x = 12 + -8x

Solving
32 + -12x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
32 + -12x + 8x = 12 + -8x + 8x

Combine like terms: -12x + 8x = -4x
32 + -4x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
32 + -4x = 12 + 0
32 + -4x = 12

Add '-32' to each side of the equation.
32 + -32 + -4x = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 12 + -32
-4x = 12 + -32

Combine like terms: 12 + -32 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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