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

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



(x-3)(x+4)-2(3x-2)=(x-4)(x-4)
We move all terms to the left:
(x-3)(x+4)-2(3x-2)-((x-4)(x-4))=0
We multiply parentheses
(x-3)(x+4)-6x-((x-4)(x-4))+4=0
We multiply parentheses ..
(+x^2+4x-3x-12)-6x-((x-4)(x-4))+4=0
We calculate terms in parentheses: -((x-4)(x-4)), so:
(x-4)(x-4)
We multiply parentheses ..
(+x^2-4x-4x+16)
We get rid of parentheses
x^2-4x-4x+16
We add all the numbers together, and all the variables
x^2-8x+16
Back to the equation:
-(x^2-8x+16)
We get rid of parentheses
x^2-x^2+4x-3x-6x+8x-12-16+4=0
We add all the numbers together, and all the variables
3x-24=0
We move all terms containing x to the left, all other terms to the right
3x=24
x=24/3
x=8

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