How do you solve a=x/(n+x) for n?

Answer 1

a=x/(n+x)
a*(n+x)=x/(n+x) *(n+x) ....multiply both sides by (n+x)
a(n+x)=x ... multiply a(n+x)
an+ax=x
an=x-ax ...subtract ax to both sides
n= (x-ax)/a ... finally divide both sides by a

Answer 2

a=x/(n+x)

multiply both sides by (n+x)

a(n+x)=x

distribute LHS

an+ax=x

an=x-ax

divide both sides by a

n=(x-ax)/a

Answer 3

Start by multiplying both sides by (n+x) to get a(n+x)=x
next divide both sides by a to get n+x=x/a
finally, subtract x from both sides to get n= x/a-a