What is 3-(-5+5(2-3)-2)+1 ?

The solution to 3-(-5+5(2-3)-2)+1 is 16

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3-(-5+5(2-3)-2)+1

3 - (- 5 + 5 (2 - 3) - 2) + 1

16

Solution steps

3 - (- 5 + 5 (2 - 3) - 2) + 1

Follow the PEMDAS order of operations

Calculate within parentheses

(- 5 + 5 (2 - 3) - 2) : - 12

- 5 + 5 (2 - 3) - 2

Calculate within parentheses

(2 - 3) : - 1

2 - 3

2 - 3 = - 1

= - 1

= - 5 + 5 (- 1) - 2

Multiply and divide (left to right)

5 (- 1) : - 5

5 (- 1)

Apply rule

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

5 (- 1) = - 5 \cdot 1 = - 5

= - 5

= - 5 - 5 - 2

Add and subtract (left to right)

- 5 - 5 - 2 : - 12

- 5 - 5 - 2

- 5 - 5 = - 10

= - 10 - 2

- 10 - 2 = - 12

= - 12

= - 12

= 3 - (- 12) + 1

Add and subtract (left to right)

3 - (- 12) + 1 : 16

3 - (- 12) + 1

Apply rule

- (- a) = + a

- (- 12) = + 12

= 3 + 12 + 1

3 + 12 = 15

= 15 + 1

15 + 1 = 16

= 16

= 16

(562 \times 8) \div 9 + 863 + 1349 - 648

- 4 - 5 - 8 + 10

225 + 356 - 417 + 519 - 108

34769 - 125 \times 65 + 435 \div 3

45 \times (- 3) - 63