What is 8-{5-4[-6+7(5-2)]-3} ?

The solution to 8-{5-4[-6+7(5-2)]-3} is 66

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8-{5-4[-6+7(5-2)]-3}

8 - {5 - 4 [- 6 + 7 (5 - 2)] - 3}

66

Solution steps

8 - {5 - 4 [- 6 + 7 (5 - 2)] - 3}

Follow the PEMDAS order of operations

Calculate within parentheses

{5 - 4 [- 6 + 7 (5 - 2)] - 3} : - 58

5 - 4 [- 6 + 7 (5 - 2)] - 3

Calculate within parentheses

[- 6 + 7 (5 - 2)] : 15

- 6 + 7 (5 - 2)

Calculate within parentheses

(5 - 2) : 3

5 - 2

5 - 2 = 3

= 3

= - 6 + 7 \cdot 3

Multiply and divide (left to right)

7 \cdot 3 : 21

7 \cdot 3

7 \cdot 3 = 21

= 21

= - 6 + 21

Add and subtract (left to right)

- 6 + 21 : 15

- 6 + 21

- 6 + 21 = 15

= 15

= 15

= 5 - 4 \cdot 15 - 3

Multiply and divide (left to right)

4 \cdot 15 : 60

4 \cdot 15

4 \cdot 15 = 60

= 60

= 5 - 60 - 3

Add and subtract (left to right)

5 - 60 - 3 : - 58

5 - 60 - 3

5 - 60 = - 55

= - 55 - 3

- 55 - 3 = - 58

= - 58

= - 58

= 8 - (- 58)

Add and subtract (left to right)

8 - (- 58) : 66

8 - (- 58)

Apply rule

- (- a) = + a

- (- 58) = + 58

= 8 + 58

8 + 58 = 66

= 66

= 66

60 - (- 15) + (- 13)

2 \cdot 2^{2}

(1)^{2} - 1

5^{2} + 2^{2}

1 - (2 - 3)