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