solve for x- rational equation

Question

(3/(x=2))-1/(5x)=1/x

Answer 1

3/(x + 2) - 1/(5x) = 1/x

 

Multiply the equation by the LCD, 5x(x + 2) to get:

 

15x - (x + 2) = 5(x + 2)

 

15x - x - 2 = 5x + 10

 

14x - 2 = 5x + 10

 

9x = 12  So, x = 12/9 = 4/3