solve `9+14-3 times 6/3+2`

Answer

To solve the expression \( 9 + 14 - 3 \times 6 / 3 + 2 \), 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 contains addition (+), subtraction (-), multiplication (×), and division (÷).

2. **Perform Division and Multiplication first**: According to BODMAS, we first handle division and multiplication from left to right.
- The expression is \( 9 + 14 - 3 \times 6 / 3 + 2 \).
- First, we perform the division: \( 6 / 3 = 2 \).

Now the expression simplifies to:
\[ 9 + 14 - 3 \times 2 + 2 \]

3. **Next, perform the multiplication**:
- Now we calculate \( 3 \times 2 = 6 \).

The expression now becomes:
\[ 9 + 14 - 6 + 2 \]

4. **Perform Addition and Subtraction from left to right**:
- First, add \( 9 + 14 = 23 \).
- Now, subtract \( 23 - 6 = 17 \).
- Finally, add \( 17 + 2 = 19 \).

5. **Final Result**: The final answer is \( 19 \).

### Summary of Steps:
- Start with the original expression: \( 9 + 14 - 3 \times 6 / 3 + 2 \)
- Perform division: \( 6 / 3 = 2 \)
- Update expression: \( 9 + 14 - 3 \times 2 + 2 \)
- Perform multiplication: \( 3 \times 2 = 6 \)
- Update expression: \( 9 + 14 - 6 + 2 \)
- Perform addition and subtraction from left to right:
- \( 9 + 14 = 23 \)
- \( 23 - 6 = 17 \)
- \( 17 + 2 = 19 \)