Question

solve for x:
x/m+n=x/n+m

Answer 1

Get common denominators:
xn+n^2m=xm+nm^2
Now get the x's on one side
xn-xm=nm^2-n^2m
Factor out x
x(n-m)=nm^2-n^2m
Divide by n-m
x=(nm^2-n^2m)/(n-m)

Answer 2

i got that too. but my book says the answer is -mn?

Answer 3

my bad didn't see you can factor top
So from:
x=(nm^2-n^2m)/(n-m)
x=((-nm(n-m))/(n-m))
So the (n-m) cancell
x=-mn