Solve the equation and verify your answer: `2/(3x)-3/(2x)=1/(12)`

Explanation

`(2/3x)-(3/2x)=(1/12)`
`(2xx2-3xx3)/(6x)=(1/12)`
`(4-9)/(6x)=1/12`
`-5/(6x)=(1/12)`
cross-multiplying
`12(-5)=1(6x)`
`-60=6x`
`x=(-60/6)`
`x=-10`
According to the question
`2/(3x)-3/(2x)=1/12`
`2/(3(-10))-3/(2(-10))=1/12`
`-2/30+3/20=1/12`
`(-4+9)/60=1/12`
`5/60=1/12`
`1/12=1/12`