1/(2x-7)=5

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Solution for 1/(2x-7)=5 equation: 



1/(2x-7)=5

We move all terms to the left:

1/(2x-7)-(5)=0



Domain of the equation: (2x-7)!=0

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

2x!=7

x!=7/2

x!=3+1/2

x∈R



We multiply all the terms by the denominator


-5*(2x-7)+1=0

We multiply parentheses

-10x+35+1=0

We add all the numbers together, and all the variables

-10x+36=0

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

-10x=-36

x=-36/-10

x=3+3/5

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