1/(2x+1)=5

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Solution for 1/(2x+1)=5 equation: 



1/(2x+1)=5

We move all terms to the left:

1/(2x+1)-(5)=0



Domain of the equation: (2x+1)!=0

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

2x!=-1

x!=-1/2

x!=-1/2

x∈R



We multiply all the terms by the denominator


-5*(2x+1)+1=0

We multiply parentheses

-10x-5+1=0

We add all the numbers together, and all the variables

-10x-4=0

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

-10x=4

x=4/-10

x=-2/5

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