Solve the Fraction Equation: Unraveling X in (1/4)(x - 8) = 1

To solve this problem, we will follow these steps:

• Step 1: Multiply both sides of the equation by 4 to eliminate the fraction.
• Step 2: Simplify the resulting equation.
• Step 3: Solve for $x$.

Let's work through these steps:

Step 1: Start with the equation:

$\frac{1}{4}(x - 8) = 1$

Multiply both sides by 4 to remove the fraction:

$4 \times \frac{1}{4}(x - 8) = 4 \times 1$

This simplifies to:

$x - 8 = 4$

Step 2: To isolate $x$, add 8 to both sides of the equation:

$x - 8 + 8 = 4 + 8$

This results in:

$x = 12$

Therefore, the solution to the equation is $x = 12$.