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7/x+5=6/x-8
We move all terms to the left:
7/x+5-(6/x-8)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-8)!=0We get rid of parentheses
x∈R
7/x-6/x+8+5=0
We multiply all the terms by the denominator
8*x+5*x+7-6=0
We add all the numbers together, and all the variables
13x+1=0
We move all terms containing x to the left, all other terms to the right
13x=-1
x=-1/13
x=-1/13
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