(15+x)/x=8/3

Solution for (15+x)/x=8/3 equation:

(15+x)/x=8/3

We move all terms to the left:

(15+x)/x-(8/3)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

(x+15)/x-(+8/3)=0

We get rid of parentheses

(x+15)/x-8/3=0

We calculate fractions


(3x+45)/3x+(-8x)/3x=0

We multiply all the terms by the denominator


(3x+45)+(-8x)=0

We get rid of parentheses

3x-8x+45=0

We add all the numbers together, and all the variables

-5x+45=0

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

-5x=-45

x=-45/-5

x=+9