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9/x-6=3/x-10
We move all terms to the left:
9/x-6-(3/x-10)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-10)!=0We get rid of parentheses
x∈R
9/x-3/x+10-6=0
We multiply all the terms by the denominator
10*x-6*x+9-3=0
We add all the numbers together, and all the variables
4x+6=0
We move all terms containing x to the left, all other terms to the right
4x=-6
x=-6/4
x=-1+1/2
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