Solve the equation $5-\frac{1}{x}=1$ for $x$.

1. Problem Description

Solve the equation $5-\frac{1}{x}=1$ for $x$.

2. Solution Steps

We are given the equation $5 - \frac{1}{x} = 1$.

First, we subtract 5 from both sides of the equation:

$5 - \frac{1}{x} - 5 = 1 - 5$

$-\frac{1}{x} = -4$

Multiply both sides by -1:

$\frac{1}{x} = 4$

Now, we take the reciprocal of both sides:

$x = \frac{1}{4}$

3. Final Answer

$x = \frac{1}{4}$