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

The solution to -3+(4-2[6-3+4(5-7)]+3) is 14

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

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

14

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 2 [6 - 3 + 4 (5 - 7)] + 3) : 17

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

Calculate within parentheses

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

6 - 3 + 4 (5 - 7)

Calculate within parentheses

(5 - 7) : - 2

5 - 7

5 - 7 = - 2

= - 2

= 6 - 3 + 4 (- 2)

Multiply and divide (left to right)

4 (- 2) : - 8

4 (- 2)

Apply rule

a \cdot (- b) = - a \cdot b

4 (- 2) = - 4 \cdot 2 = - 8

= - 8

= 6 - 3 - 8

Add and subtract (left to right)

6 - 3 - 8 : - 5

6 - 3 - 8

6 - 3 = 3

= 3 - 8

3 - 8 = - 5

= - 5

= - 5

= 4 - 2 (- 5) + 3

Multiply and divide (left to right)

2 (- 5) : - 10

2 (- 5)

Apply rule

a \cdot (- b) = - a \cdot b

2 (- 5) = - 2 \cdot 5 = - 10

= - 10

= 4 - (- 10) + 3

Add and subtract (left to right)

4 - (- 10) + 3 : 17

4 - (- 10) + 3

Apply rule

- (- a) = + a

- (- 10) = + 10

= 4 + 10 + 3

4 + 10 = 14

= 14 + 3

14 + 3 = 17

= 17

= 17

= - 3 + 17

Add and subtract (left to right)

- 3 + 17 : 14

- 3 + 17

- 3 + 17 = 14

= 14

= 14

(- 21 \times (- 3) \times 1 - 1) \times 5

3 - 10 + 9 \times 7

2 \cdot (3 + 1) + 2

\frac{- 2 - ( - 6 ) ( + 1 )}{( - 2 + 4 ) ( - 1 )}

72 - 36 \div 12 - 6