(n-8)/(5n-2)=3/8

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Solution for (n-8)/(5n-2)=3/8 equation: 



(n-8)/(5n-2)=3/8

We move all terms to the left:

(n-8)/(5n-2)-(3/8)=0



Domain of the equation: (5n-2)!=0

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

5n!=2

n!=2/5

n!=2/5

n∈R



We add all the numbers together, and all the variables

(n-8)/(5n-2)-(+3/8)=0

We get rid of parentheses

(n-8)/(5n-2)-3/8=0

We calculate fractions


(8n-64)/(40n-16)+(-15n+6)/(40n-16)=0

We multiply all the terms by the denominator


(8n-64)+(-15n+6)=0

We get rid of parentheses

8n-15n-64+6=0

We add all the numbers together, and all the variables

-7n-58=0

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

-7n=58

n=58/-7

n=-8+2/7

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