Question

How do you solve `2/3 = 2 - (5x-3)/(x-1)`?

Answer 1

`x=5/11`.

Explanation:

`2/3=2-(5x-3)/(x-1)`

`2/3-2=-(5x-3)/(x-1)`

`-4/3=-(5x-3)/(x-1)`

`4/3=(5x-3)/(x-1)`

`4/3(x-1)=5x-3`

`4(x-1)=3(5x-3)`

`4x-4=15x-9`

`4x-15x=-9+4`

`-11x=-5`

`x=5/11`.