1/a+2=3/a-3

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Solution for 1/a+2=3/a-3 equation: 



1/a+2=3/a-3

We move all terms to the left:

1/a+2-(3/a-3)=0



Domain of the equation: a!=0

a∈R





Domain of the equation: a-3)!=0

a∈R



We get rid of parentheses

1/a-3/a+3+2=0

We multiply all the terms by the denominator


3*a+2*a+1-3=0

We add all the numbers together, and all the variables

5a-2=0

We move all terms containing a to the left, all other terms to the right

5a=2

a=2/5

a=2/5

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