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14/x+9=10/x+6
We move all terms to the left:
14/x+9-(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
14/x-10/x-6+9=0
We multiply all the terms by the denominator
-6*x+9*x+14-10=0
We add all the numbers together, and all the variables
3x+4=0
We move all terms containing x to the left, all other terms to the right
3x=-4
x=-4/3
x=-1+1/3
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