In terms of x, what is the difference between 6x+9 and 2x-4. If `xgt2`?

Options

A. `3x+5`
B. `4x-5`
C. `4x+5`
D. `4x+13`

Answer

To find the difference between \(6x + 9\) and \(2x - 4\), we can follow these steps:

### Step 1: Write the expression for the difference
The difference between \(6x + 9\) and \(2x - 4\) can be expressed as:
\[ \text{Difference} = (6x + 9) - (2x - 4) \]

### Step 2: Distribute the negative sign
When we subtract \(2x - 4\), we need to distribute the negative sign:
\[ \text{Difference} = 6x + 9 - 2x + 4 \]

### Step 3: Combine like terms
Now, we combine like terms:
- Combine the \(x\) terms: \(6x - 2x = 4x\)
- Combine the constant terms: \(9 + 4 = 13\)

So, we have:
\[ \text{Difference} = 4x + 13 \]

### Step 4: Conclusion
Thus, the difference between \(6x + 9\) and \(2x - 4\) is:
\[ \text{Difference} = 4x + 13 \]