1. The problem is to evaluate the expression $6 - 5 \times 3 - 2$. 2. According to the order of operations (PEMDAS/BODMAS), multiplication must be done before addition and subtraction. 3. First, calculate the multiplication part: $5 \times 3 = 15$. 4. Substitute back into the expression: $6 - 15 - 2$. 5. Now perform the subtraction from left to right: $$6 - 15 = \cancel{6} - \cancel{15} = -9$$ 6. Then subtract 2: $$-9 - 2 = -11$$ 7. Therefore, the value of the expression is $-11$.