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

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


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

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

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

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

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

Reorder the terms:
8 + 6x + x2 = (-8 + x)(x + -4)

Reorder the terms:
8 + 6x + x2 = (-8 + x)(-4 + x)

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

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

Add '-1x2' to each side of the equation.
8 + 6x + x2 + -1x2 = 32 + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 6x + 0 = 32 + -12x + x2 + -1x2
8 + 6x = 32 + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 6x = 32 + -12x + 0
8 + 6x = 32 + -12x

Solving
8 + 6x = 32 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
8 + 6x + 12x = 32 + -12x + 12x

Combine like terms: 6x + 12x = 18x
8 + 18x = 32 + -12x + 12x

Combine like terms: -12x + 12x = 0
8 + 18x = 32 + 0
8 + 18x = 32

Add '-8' to each side of the equation.
8 + -8 + 18x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 18x = 32 + -8
18x = 32 + -8

Combine like terms: 32 + -8 = 24
18x = 24

Divide each side by '18'.
x = 1.333333333

Simplifying
x = 1.333333333

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