Answer
$26$
Work Step by Step
The order of operations follow the following hierarchy (PEMDAS rule):
(i) Parentheses/grouping symbols
(ii) Exponents
(iii) Multiplication/Division, whichever comes first from the left
(iv) Addition/Subtraction, whichever comes first from the left
Use the rule above to obtain:
$=8-3[-2(-2)-5(2)]
\\=8-3[4-10]
\\=8-3(-6)
\\=8-(-18)
\\=8+18
\\=26$