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(5x-8)/(6x+10)=9
We move all terms to the left:
(5x-8)/(6x+10)-(9)=0
Domain of the equation: (6x+10)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
6x!=-10
x!=-10/6
x!=-1+2/3
x∈R
(5x-8)-9*(6x+10)=0
We multiply parentheses
(5x-8)-54x-90=0
We get rid of parentheses
5x-54x-8-90=0
We add all the numbers together, and all the variables
-49x-98=0
We move all terms containing x to the left, all other terms to the right
-49x=98
x=98/-49
x=-2
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