Question

How do you solve `2/(x +6) = 9/8 - 4/(x+6)`?

Answer 1

`x=-2/3`

Explanation:

Original solution
Place on a common denominator and solve the resulting linear equation.
`16/(8x + 48)` = `(9x + 54)/ (8x + 48)` - `32/(8x + 48)`

16 - 54 + 32 = 9x

-6 = 9x

`-2/3` = x

Simplier solution
`2/(x+6)=9/8-4/(x+6)`
`2/(x+6)+4/(x+6)=9/8`
`6/(x+6)=9/8`
Multiply both sides by `(x+6)` and divide by `9/8`
`6*8/9=x+6`
`x=(2*8)/3-6=16/3-6=5 1/3-6=-2/3`
The solution is `-2/3`.