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5/x-5=7/x+11
We move all terms to the left:
5/x-5-(7/x+11)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+11)!=0We get rid of parentheses
x∈R
5/x-7/x-11-5=0
We multiply all the terms by the denominator
-11*x-5*x+5-7=0
We add all the numbers together, and all the variables
-16x-2=0
We move all terms containing x to the left, all other terms to the right
-16x=2
x=2/-16
x=-1/8
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