Solve for X in 2=(x-2)×1/4: Step-by-Step Solution

To solve this problem, we'll follow these steps:

• Step 1: Eliminate the fraction by multiplying both sides of the equation by 4.
• Step 2: Simplify and solve for $x$.

Let's work through each step:

Step 1: The original equation is $2 = (x-2) \times \frac{1}{4}$.
To eliminate the fraction, multiply both sides by 4:
$4 \times 2 = 4 \times (x-2) \times \frac{1}{4}$

This simplifies to:
$8 = x - 2$

Step 2: Solve for $x$.
Add 2 to both sides to isolate $x$:
$8 + 2 = x$

This simplifies to:
$x = 10$

Therefore, the solution to the problem is $x = 10$.