Solve the Linear Equation 5x = 1: Find x

To solve the equation $5x = 1$, we need to isolate $x$. Here are the steps:

• Step 1: Start with the equation $5x = 1$.
• Step 2: Divide both sides of the equation by the coefficient of $x$, which is 5, to isolate $x$. This gives us:
$\frac{5x}{5} = \frac{1}{5}$
• Step 3: Simplify the left side:
$\frac{5x}{5} = x$
• Step 4: Write the simplified equation:
$x = \frac{1}{5}$

Therefore, the solution to the equation $5x = 1$ is $x = \frac{1}{5}$.

The correct answer choice is:

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