What is {20-[10-(14-5)]}+2 ?

The solution to {20-[10-(14-5)]}+2 is 21

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{20-[10-(14-5)]}+2

{20 - [10 - (14 - 5)]} + 2

21

Solution steps

{20 - [10 - (14 - 5)]} + 2

Follow the PEMDAS order of operations

Calculate within parentheses

{20 - [10 - (14 - 5)]} : 19

20 - [10 - (14 - 5)]

Calculate within parentheses

[10 - (14 - 5)] : 1

10 - (14 - 5)

Calculate within parentheses

(14 - 5) : 9

14 - 5

14 - 5 = 9

= 9

= 10 - 9

Add and subtract (left to right)

10 - 9 : 1

10 - 9

10 - 9 = 1

= 1

= 1

= 20 - 1

Add and subtract (left to right)

20 - 1 : 19

20 - 1

20 - 1 = 19

= 19

= 19

= 19 + 2

Add and subtract (left to right)

19 + 2 : 21

19 + 2

19 + 2 = 21

= 21

= 21

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2 (- 2 - 1)^{2} + 1