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2/x+6=12/x-5
We move all terms to the left:
2/x+6-(12/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We get rid of parentheses
x∈R
2/x-12/x+5+6=0
We multiply all the terms by the denominator
5*x+6*x+2-12=0
We add all the numbers together, and all the variables
11x-10=0
We move all terms containing x to the left, all other terms to the right
11x=10
x=10/11
x=10/11
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