(2k-5)/(5k+2)=3/22

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Solution for (2k-5)/(5k+2)=3/22 equation: 



(2k-5)/(5k+2)=3/22

We move all terms to the left:

(2k-5)/(5k+2)-(3/22)=0



Domain of the equation: (5k+2)!=0

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

5k!=-2

k!=-2/5

k!=-2/5

k∈R



We add all the numbers together, and all the variables

(2k-5)/(5k+2)-(+3/22)=0

We get rid of parentheses

(2k-5)/(5k+2)-3/22=0

We calculate fractions


(44k-110)/(110k+44)+(-15k-6)/(110k+44)=0

We multiply all the terms by the denominator


(44k-110)+(-15k-6)=0

We get rid of parentheses

44k-15k-110-6=0

We add all the numbers together, and all the variables

29k-116=0

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

29k=116

k=116/29

k=4

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