#### Answer

Solution: x = (-1)

#### Work Step by Step

5 + $\frac{4}{x}$ = 1
Multiply both sides by x.
Thus, x(5 + $\frac{4}{x}$) = 1(x)
5x + $\frac{4}{x}$x = x
5x + 4 = x.
Thus 5x - x + 4 = x - x.
Thus 4x + 4 = 0
4x + 4 - 4 = 0 - 4
4x = - 4
x= -1.
Check:
Put x = -1 in $\rightarrow$5 + $\frac{4}{x}$ = 1.
Thus 5 + $\frac{4}{-1}$ = 1?
5 + (-4) = 1?
5 - 4 =1?
1=1.
Hence proved.