If `x/2 -2=6,` then ` x = "__________."`

Answer

To solve the equation \( \frac{x}{2} - 2 = 6 \), we will follow these steps:

### Step 1: Write down the equation
We start with the equation:
\[ \frac{x}{2} - 2 = 6 \]

### Step 2: Isolate the term with \( x \)
To isolate \( \frac{x}{2} \), we need to eliminate the \(-2\) on the left side. We can do this by adding \( 2 \) to both sides of the equation:
\[ \frac{x}{2} - 2 + 2 = 6 + 2 \]
This simplifies to:
\[ \frac{x}{2} = 8 \]

### Step 3: Eliminate the fraction
Now, to solve for \( x \), we need to eliminate the fraction \( \frac{x}{2} \). We can do this by multiplying both sides of the equation by \( 2 \):
\[ 2 \cdot \frac{x}{2} = 8 \cdot 2 \]
This simplifies to:
\[ x = 16 \]

### Final Answer
Thus, the value of \( x \) is:
\[ x = 16 \]

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