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

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


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

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

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

Multiply (-4 + x) * (-6 + x)
(-4(-6 + x) + x(-6 + x)) = (x + -2)(x + -4)
((-6 * -4 + x * -4) + x(-6 + x)) = (x + -2)(x + -4)
((24 + -4x) + x(-6 + x)) = (x + -2)(x + -4)
(24 + -4x + (-6 * x + x * x)) = (x + -2)(x + -4)
(24 + -4x + (-6x + x2)) = (x + -2)(x + -4)

Combine like terms: -4x + -6x = -10x
(24 + -10x + x2) = (x + -2)(x + -4)

Reorder the terms:
24 + -10x + x2 = (-2 + x)(x + -4)

Reorder the terms:
24 + -10x + x2 = (-2 + x)(-4 + x)

Multiply (-2 + x) * (-4 + x)
24 + -10x + x2 = (-2(-4 + x) + x(-4 + x))
24 + -10x + x2 = ((-4 * -2 + x * -2) + x(-4 + x))
24 + -10x + x2 = ((8 + -2x) + x(-4 + x))
24 + -10x + x2 = (8 + -2x + (-4 * x + x * x))
24 + -10x + x2 = (8 + -2x + (-4x + x2))

Combine like terms: -2x + -4x = -6x
24 + -10x + x2 = (8 + -6x + x2)

Add '-1x2' to each side of the equation.
24 + -10x + x2 + -1x2 = 8 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + -10x + 0 = 8 + -6x + x2 + -1x2
24 + -10x = 8 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + -10x = 8 + -6x + 0
24 + -10x = 8 + -6x

Solving
24 + -10x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
24 + -10x + 6x = 8 + -6x + 6x

Combine like terms: -10x + 6x = -4x
24 + -4x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
24 + -4x = 8 + 0
24 + -4x = 8

Add '-24' to each side of the equation.
24 + -24 + -4x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 8 + -24
-4x = 8 + -24

Combine like terms: 8 + -24 = -16
-4x = -16

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

Simplifying
x = 4

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