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4/x-6=9/x+2
We move all terms to the left:
4/x-6-(9/x+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0We get rid of parentheses
x∈R
4/x-9/x-2-6=0
We multiply all the terms by the denominator
-2*x-6*x+4-9=0
We add all the numbers together, and all the variables
-8x-5=0
We move all terms containing x to the left, all other terms to the right
-8x=5
x=5/-8
x=-5/8
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