Question

How do you solve the rational equation `1/2 - 3/(2x) = 4/x - 5/12`?

Answer 1

x=6

Explanation:

`1/2-3/(2x)=4/x-5/12`
arranging the like terms with each other
`1/2+5/12=4/x+3/(2x)`
taking L.C.M,
`(6+5)/12=(8+3)/(2x)`
`11/12=11/(2x)`
simplifying,
`1/12=1/(2x)`
`12=2x`
`x=12/2`
`x=6`