Question

Need to solve for x.

Answer 1

x=12/5

Explanation:

First, let's find the domain

Since the denominator cannot be zero, the domain is
`x\\eq 4`

Then, let's start solving

`5=(8)/(4-x)`

Cross multiply

`5(4-x)=8`

`20-5x=8\\12-5x=0\\12=5x\\x=(12)/(5)`

Check

`5=\frac{8}{4-\frac{12}5}\\5=(8)/((8)/(5) ) \\5=8/(8)/(5) \\5=8*(5)/(8) \\5=5\\True`