Answer :

To evaluate the expression [tex]\( 5(10) + 8 \times 2 - 2 \)[/tex], we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

1. Multiplication:
- First, calculate [tex]\( 5(10) \)[/tex]:
[tex]\[ 5 \times 10 = 50 \][/tex]
- Next, calculate [tex]\( 8 \times 2 \)[/tex]:
[tex]\[ 8 \times 2 = 16 \][/tex]

2. Addition and Subtraction:
- Now, add the results of the multiplication operations:
[tex]\[ 50 + 16 = 66 \][/tex]
- Finally, subtract 2 from this result:
[tex]\[ 66 - 2 = 64 \][/tex]

Therefore, the evaluated result of the expression [tex]\( 5(10) + 8 \times 2 - 2 \)[/tex] is [tex]\( 64 \)[/tex].

The best answer is:
[tex]\[ \boxed{64} \][/tex]