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5=(9x+4)/(7x+6)
We move all terms to the left:
5-((9x+4)/(7x+6))=0
Domain of the equation: (7x+6))!=0We multiply all the terms by the denominator
x∈R
-((9x+4)+5*(7x+6))=0
We calculate terms in parentheses: -((9x+4)+5*(7x+6)), so:We get rid of parentheses
(9x+4)+5*(7x+6)
We multiply parentheses
(9x+4)+35x+30
We get rid of parentheses
9x+35x+4+30
We add all the numbers together, and all the variables
44x+34
Back to the equation:
-(44x+34)
-44x-34=0
We move all terms containing x to the left, all other terms to the right
-44x=34
x=34/-44
x=-17/22
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