Question

2/x-1 + 8/2x-2 = 7

solve the equation (the answer has to be a fraction)

Answer 1

`(2)/(x - 1) + (8)/(2x - 2) = 7`

`(2)/(x - 1) + (2(4))/(2(x) - 2(1)) = 7`

`(2)/(x - 1) + (2(4))/(2(x - 1)) = 7`

`(2)/(x - 1) + (4)/(x - 1) = 7`

`(2 + 4)/(x - 1) = 7`

`(6)/(x - 1) = 7`

`7(x - 1) = 6`

`7(x) - 7(1) = 6`

`7x - 7 = 6`

`7x = 13`

`(7x)/(7) = (13)/(7)`

`x = 1(6)/(7)`