5{−2+3[4−2(3+5)]}

We are given:
$5\{-2+3[4-2(3+5)]\}$
Use the order of operations:
Perform the operations inside the grouping symbols first. Evaluate powers. Multiply and divide in order from left to right. Add and subtract in order from left to right.
Perform operations inside the parentheses:
$=5\{-2+3[4-2(8)]\}$
Perform operations inside the brackets:
$=5\{-2+3[4-16]\}$
$=5\{-2+3[-12]\}$
Perform operations inside the braces:
$=5\{-2+(-36)\}$
$=5\{-38\}$
Multiply:
$=-190$