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(4x-7)(3x-5)=(6x-8)(2x-6)
We move all terms to the left:
(4x-7)(3x-5)-((6x-8)(2x-6))=0
We multiply parentheses ..
(+12x^2-20x-21x+35)-((6x-8)(2x-6))=0
We calculate terms in parentheses: -((6x-8)(2x-6)), so:We get rid of parentheses
(6x-8)(2x-6)
We multiply parentheses ..
(+12x^2-36x-16x+48)
We get rid of parentheses
12x^2-36x-16x+48
We add all the numbers together, and all the variables
12x^2-52x+48
Back to the equation:
-(12x^2-52x+48)
12x^2-12x^2-20x-21x+52x+35-48=0
We add all the numbers together, and all the variables
11x-13=0
We move all terms containing x to the left, all other terms to the right
11x=13
x=13/11
x=1+2/11
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