5/x-2=8/x+3

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Solution for 5/x-2=8/x+3 equation:



5/x-2=8/x+3
We move all terms to the left:
5/x-2-(8/x+3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+3)!=0
x∈R
We get rid of parentheses
5/x-8/x-3-2=0
We multiply all the terms by the denominator
-3*x-2*x+5-8=0
We add all the numbers together, and all the variables
-5x-3=0
We move all terms containing x to the left, all other terms to the right
-5x=3
x=3/-5
x=-3/5

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