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6=4x/(2x-17)
We move all terms to the left:
6-(4x/(2x-17))=0
Domain of the equation: (2x-17))!=0We multiply all the terms by the denominator
x∈R
-(4x+6*(2x-17))=0
We calculate terms in parentheses: -(4x+6*(2x-17)), so:We get rid of parentheses
4x+6*(2x-17)
We multiply parentheses
4x+12x-102
We add all the numbers together, and all the variables
16x-102
Back to the equation:
-(16x-102)
-16x+102=0
We move all terms containing x to the left, all other terms to the right
-16x=-102
x=-102/-16
x=6+3/8
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