Hey there!
To simplify this expression, you must use PEMDAS (Parentheses, Exponents, Multiplication and Division (this order does not matter), Addition and Subtraction (this order does not matter either)).
In the expression 2[(14-3)+64÷4]-2.5×12, you must first look at the grouped part of your expression [(14-3)+64÷4] as parentheses comes first in PEMDAS.
Now, simplify the (14-3) in [(14-3)+64÷4]:
[(14-3)+64÷4]
=[11+64÷4]
Next, simplify 64÷4 as Multiplication and Division come next (and since you are still simplifying the grouped expression):
[11+64÷4]
=[11+16]
Now, add what is left in the brackets to get 27.
Now, you have this expression after you have simplified the expression in the brackets:
2[27]-2.5×12
Next, simplify 2[27] or 2×27 since Multiplication comes before subtraction in PEMDAS. **note, when doing multiplication and division, always go from left to right.
2[27]-2.5×12
54-2.5×12
Now, Multiply 2.5×12:
54-2.5×12
54-30
Finally, subtract 54-30 to get 24 as your final answer.
Hope this helps and I hope you have a wonderful day! :)