2/x+2=3/x-5

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Solution for 2/x+2=3/x-5 equation:



2/x+2=3/x-5
We move all terms to the left:
2/x+2-(3/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0
x∈R
We get rid of parentheses
2/x-3/x+5+2=0
We multiply all the terms by the denominator
5*x+2*x+2-3=0
We add all the numbers together, and all the variables
7x-1=0
We move all terms containing x to the left, all other terms to the right
7x=1
x=1/7
x=1/7

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