2/x+5=5/x-4

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Solution for 2/x+5=5/x-4 equation:



2/x+5=5/x-4
We move all terms to the left:
2/x+5-(5/x-4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-4)!=0
x∈R
We get rid of parentheses
2/x-5/x+4+5=0
We multiply all the terms by the denominator
4*x+5*x+2-5=0
We add all the numbers together, and all the variables
9x-3=0
We move all terms containing x to the left, all other terms to the right
9x=3
x=3/9
x=1/3

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