Question

Which of the following is equivalent to 5x+2/x = -12/x-1

A) 6x - 1 = -12x

B) - 12(5x + 2) = x(x-1)

C) - 12(x - 1) = x(5x + 2)

D) (5x + 2) (x - 1) = -12

Answer 1

`(5x + 2)/(x) = ( - 12)/(x - 1)`

`equivalent \: to \\ \: (5x + 2)(x - 1) = - 12x`

Answer 2

For this case we must find an expression equivalent to:

`\frac {5x+2} {x} = \frac {-12} {x-1}`

We multiply both sides of the equation by "x":

`5x+2 = \frac {-12x} {x-1}`

We multiply both sides of the equation by "x-1":
`(5x+2) (x-1) = - 12x`

ANswer:
`(5x+2) (x-1) = - 12x`