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6/x-10=3/x+5
We move all terms to the left:
6/x-10-(3/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
6/x-3/x-5-10=0
We multiply all the terms by the denominator
-5*x-10*x+6-3=0
We add all the numbers together, and all the variables
-15x+3=0
We move all terms containing x to the left, all other terms to the right
-15x=-3
x=-3/-15
x=1/5
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