3/x+1=8/x-4

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Solution for 3/x+1=8/x-4 equation: 



3/x+1=8/x-4

We move all terms to the left:

3/x+1-(8/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

3/x-8/x+4+1=0

We multiply all the terms by the denominator


4*x+1*x+3-8=0

We add all the numbers together, and all the variables

5x-5=0

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

5x=5

x=5/5

x=1

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