1/2n+4=5/2n-8

Solution for 1/2n+4=5/2n-8 equation:

1/2n+4=5/2n-8

We move all terms to the left:

1/2n+4-(5/2n-8)=0


Domain of the equation: 2n!=0

n!=0/2

n!=0

n∈R



Domain of the equation: 2n-8)!=0

n∈R


We get rid of parentheses

1/2n-5/2n+8+4=0

We multiply all the terms by the denominator


8*2n+4*2n+1-5=0

We add all the numbers together, and all the variables

8*2n+4*2n-4=0

Wy multiply elements

16n+8n-4=0

We add all the numbers together, and all the variables

24n-4=0

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

24n=4

n=4/24

n=1/6