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2/x-3=4/x+4
We move all terms to the left:
2/x-3-(4/x+4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+4)!=0We get rid of parentheses
x∈R
2/x-4/x-4-3=0
We multiply all the terms by the denominator
-4*x-3*x+2-4=0
We add all the numbers together, and all the variables
-7x-2=0
We move all terms containing x to the left, all other terms to the right
-7x=2
x=2/-7
x=-2/7
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