(2x-4)(x-2)=(2x-4)(x-3)

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Solution for (2x-4)(x-2)=(2x-4)(x-3) equation:



(2x-4)(x-2)=(2x-4)(x-3)
We move all terms to the left:
(2x-4)(x-2)-((2x-4)(x-3))=0
We multiply parentheses ..
(+2x^2-4x-4x+8)-((2x-4)(x-3))=0
We calculate terms in parentheses: -((2x-4)(x-3)), so:
(2x-4)(x-3)
We multiply parentheses ..
(+2x^2-6x-4x+12)
We get rid of parentheses
2x^2-6x-4x+12
We add all the numbers together, and all the variables
2x^2-10x+12
Back to the equation:
-(2x^2-10x+12)
We get rid of parentheses
2x^2-2x^2-4x-4x+10x+8-12=0
We add all the numbers together, and all the variables
2x-4=0
We move all terms containing x to the left, all other terms to the right
2x=4
x=4/2
x=2

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