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8/x+1=16/x-6
We move all terms to the left:
8/x+1-(16/x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-6)!=0We get rid of parentheses
x∈R
8/x-16/x+6+1=0
We multiply all the terms by the denominator
6*x+1*x+8-16=0
We add all the numbers together, and all the variables
7x-8=0
We move all terms containing x to the left, all other terms to the right
7x=8
x=8/7
x=1+1/7
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