Question 192739
when  we  have  fractions, safest  thing  to  do  is  to  multipy  eqn  by  lcd  to  clear

2.5/x  +3/5  =  2/x

multiply  by  ( 5x )

2.5  (5)  +(3x)  = 2 (5)
12.5 +3x=10
subt  12.5  both  sides
3x = - 2.5
divide  by  3  both  sides
x=  (-2.5/3)=-(5/6)  =-.833 

check
2.5/(-.833) +3/5 = 2/(-.833)
-3 +.6=-2.4
-2.4 =-2.4  ok