1/x-5=3/x+4

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Solution for 1/x-5=3/x+4 equation:



1/x-5=3/x+4
We move all terms to the left:
1/x-5-(3/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
1/x-3/x-4-5=0
We multiply all the terms by the denominator
-4*x-5*x+1-3=0
We add all the numbers together, and all the variables
-9x-2=0
We move all terms containing x to the left, all other terms to the right
-9x=2
x=2/-9
x=-2/9

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