Question

How do you solve `7/(x+2)= 2/(x-5)`?

Answer 1

Multiply both sides of the equation by the product of the two denominators:

`7/(x+2) = 2/(x-5)`

becomes
`7/cancel(x+2) * cancel((x+2)) * (x-5) = 2/cancel(x-5) * (x+2) * cancel((x-5))`

`7x-35 = 2x+4`

`5x= 39`

`x= 7 4/5`