But you should try to understand that when we say you apply the rules of bodmas you should use that rules without performing the operation from left to right

I understand your point about BODMAS, Experto. Let's clarify the rule precisely.

BODMAS (or PEMDAS) defines the order of precedence for different types of operations:

1. Brackets / Parentheses
2. Orders (powers and square roots) / Exponents
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)

The key detail is that Division and Multiplication have equal precedence, and you perform them from left to right. Similarly, Addition and Subtraction have equal precedence, and you perform them from left to right.

This means you don't always do addition before subtraction. You do whichever comes first when reading the expression from left to right.

Let's use a simple example to illustrate:
Consider the expression $10 - 5 + 2$.

• If we strictly did addition before subtraction (without left-to-right): $$10 - (5 + 2) = 10 - 7 = 3$$
• If we follow the correct BODMAS rule (left-to-right for equal precedence): First, perform subtraction because it's on the left: $$10 - 5 = 5$$ Then, perform addition: $$5 + 2 = 7$$

The correct answer for $10 - 5 + 2$ is 7. This shows that the left-to-right rule for operations of equal precedence is crucial.

Applying this to your original problem, $3 - 3 \times 6 + 2$: