What is the result of simplifying \( 10 - (2 + 3) \times 2 \)?

To simplify the expression ( 10 - (2 + 3) \times 2 ), you need to follow the correct order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

1. Evaluate the expression inside the parentheses:

[

2 + 3 = 5

]

So now, the expression becomes:

[

10 - 5 \times 2

]

2. Next, perform the multiplication:

[

5 \times 2 = 10

]

Now the expression is:

[

10 - 10

]

3. Finally, perform the subtraction:

[

10 - 10 = 0

]

Thus, the simplified result of the expression ( 10 - (2 + 3) \times 2 ) is 0, making it the correct answer.