how to solve a n equations with rational expression

Question

multiply all the terms in the equation by the LCD.example solve for x in 2x/5 - x/3=2

solutions:

15[2x/5-x/3=2] 15(2x/50-15(x/3)=15(2)

6x-5x=30

Answer 1

to solve that equation you have there 2x/5 - x/3 =5

first thing you do is (me personally i dont like fractions so i will eliminate the fractions by multiplying the demonator)

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

6x/5 - x = 15

now i do the same thing with the other fraction

5(6x/5 -x) = 5(15)

6x-5x=75

combin like terms 6x - 5x is just 1x

1x=75 divide each side by 1

x=75