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

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

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

We move all terms to the left:

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


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

n∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


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

We multiply all the terms by the denominator


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

We get rid of parentheses

8n-15n+64=0

We add all the numbers together, and all the variables

-7n+64=0

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

-7n=-64

n=-64/-7

n=9+1/7