To solve the expression \( 16 + 8 -: 4 - 2 \times 3 \), we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).
### Step-by-Step Solution:
1. **Identify the operations**: The expression consists of addition (+), division (/:), multiplication (×), and subtraction (-).
2. **Rewrite the expression**: The expression can be rewritten for clarity:
\[
16 + \left( \frac{8}{4} \right) - (2 \times 3)
\]
3. **Perform the division**: According to BODMAS, we first perform the division:
\[
\frac{8}{4} = 2
\]
Now the expression looks like:
\[
16 + 2 - (2 \times 3)
\]
4. **Perform the multiplication**: Next, we perform the multiplication:
\[
2 \times 3 = 6
\]
Now the expression becomes:
\[
16 + 2 - 6
\]
5. **Perform the addition**: Now we perform the addition:
\[
16 + 2 = 18
\]
The expression now is:
\[
18 - 6
\]
6. **Perform the subtraction**: Finally, we perform the subtraction:
\[
18 - 6 = 12
\]
Thus, the final answer is:
\[
\boxed{12}
\]
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