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2x(x-1)=(2x-5)(x-1)
We move all terms to the left:
2x(x-1)-((2x-5)(x-1))=0
We multiply parentheses
2x^2-2x-((2x-5)(x-1))=0
We multiply parentheses ..
2x^2-((+2x^2-2x-5x+5))-2x=0
We calculate terms in parentheses: -((+2x^2-2x-5x+5)), so:We add all the numbers together, and all the variables
(+2x^2-2x-5x+5)
We get rid of parentheses
2x^2-2x-5x+5
We add all the numbers together, and all the variables
2x^2-7x+5
Back to the equation:
-(2x^2-7x+5)
2x^2-2x-(2x^2-7x+5)=0
We get rid of parentheses
2x^2-2x^2-2x+7x-5=0
We add all the numbers together, and all the variables
5x-5=0
We move all terms containing x to the left, all other terms to the right
5x=5
x=5/5
x=1
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