# How do you solve # 3/x = 12/(x+7)#?

##### 1 Answer

#### Answer:

The solutions is

#### Explanation:

An identity holds if and only if the identity between the inverses hold (as long as you don't have something like

The only thing we have to take care about is to make sure that the original denominators aren't zero, i.e.

Now let's solve the equality between inverses:

Expanding, we have