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1/x+5=2/x-5
We move all terms to the left:
1/x+5-(2/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We get rid of parentheses
x∈R
1/x-2/x+5+5=0
We multiply all the terms by the denominator
5*x+5*x+1-2=0
We add all the numbers together, and all the variables
10x-1=0
We move all terms containing x to the left, all other terms to the right
10x=1
x=1/10
x=1/10
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