Question

How do you solve `((x+1)/(2(x-1)))=((4x)/3)+(1/(x-1))`?

Answer 1

`x=3/4`

Explanation:

`(x+1)/(2(x-1))=(4x)/3+1/(x-1)`

or

`(x+1)/(2(x-1))-1/(x-1)=(4x)/3`

or

`(x+1-2)/(x-1)=(4x)/3`

or

`(x-1)/(x-1)=(4x)/3`

or

`1=(4x)/3`

or

`4x=3`

or

`x=3/4`