Question

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

Answer 1

Arrange the equation and get `x=5/11`

Explanation:

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

`2(x-1) = 3{2(x-1) - (5x-3)}`

`2x - 2 = 3{2x - 5x -2 +3}`

`2x - 2 = -9x +3`

`2x + 9 x = 3+2`

`11x = 5`

`x=5/11`