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5/x-5=10/x-6
We move all terms to the left:
5/x-5-(10/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-10/x+6-5=0
We multiply all the terms by the denominator
6*x-5*x+5-10=0
We add all the numbers together, and all the variables
x-5=0
We move all terms containing x to the left, all other terms to the right
x=5
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