Solve the Linear Equation: Uncovering X in 8x = 5

To solve the equation $8x = 5$, follow these steps:

• Step 1: Identify the equation $8x = 5$, where $x$ is the unknown variable.
• Step 2: To isolate $x$, divide both sides of the equation by 8.
  This step involves equivalent operations to maintain equality.
• Step 3: Perform the division on both sides:
  $\frac{8x}{8} = \frac{5}{8}$.
  This simplifies to $x = \frac{5}{8}$.

Now, let's outline these steps in detail:

We begin with the equation $8x = 5$.

Dividing both sides by the coefficient of $x$, which is 8, gives:

$\frac{8x}{8} = \frac{5}{8}$.

This simplifies directly to:

$x = \frac{5}{8}$.

Therefore, the solution to the problem is $x = \frac{5}{8}$.