Solve for X in (x-4) × 1/2 = 7: Linear Equation Solution

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

• Step 1: Clear the fraction by multiplying both sides of the equation by 2.
• Step 2: Isolate $x$ by adding 4 to both sides of the resulting equation.

Now, let's work through each step:
Step 1: Multiply both sides of the equation by 2 to eliminate the fraction:
$7 \times 2 = (x - 4) \times \frac{1}{2} \times 2$

This simplifies to:
$14 = x - 4$

Step 2: Solve for $x$ by adding 4 to both sides:
$14 + 4 = x - 4 + 4$

This simplifies to:
$x = 18$

Therefore, the solution to the equation is $x = 18$.