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5/x+10=6/x-6
We move all terms to the left:
5/x+10-(6/x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-6)!=0We get rid of parentheses
x∈R
5/x-6/x+6+10=0
We multiply all the terms by the denominator
6*x+10*x+5-6=0
We add all the numbers together, and all the variables
16x-1=0
We move all terms containing x to the left, all other terms to the right
16x=1
x=1/16
x=1/16
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