What is 2-[2-(2-3+1)+(1+3)]-3 ?

The solution to 2-[2-(2-3+1)+(1+3)]-3 is -7

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2-[2-(2-3+1)+(1+3)]-3

2 - [2 - (2 - 3 + 1) + (1 + 3)] - 3

- 7

Solution steps

2 - [2 - (2 - 3 + 1) + (1 + 3)] - 3

Follow the PEMDAS order of operations

Calculate within parentheses

[2 - (2 - 3 + 1) + (1 + 3)] : 6

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

Calculate within parentheses

(2 - 3 + 1) : 0

2 - 3 + 1

Add and subtract (left to right)

2 - 3 = - 1

= - 1 + 1

- 1 + 1 = 0

= 0

= 2 - 0 + (1 + 3)

Calculate within parentheses

(1 + 3) : 4

1 + 3

1 + 3 = 4

= 4

= 2 - 0 + 4

Add and subtract (left to right)

2 - 0 + 4 : 6

2 - 0 + 4

2 - 0 = 2

= 2 + 4

2 + 4 = 6

= 6

= 6

= 2 - 6 - 3

Add and subtract (left to right)

2 - 6 - 3 : - 7

2 - 6 - 3

2 - 6 = - 4

= - 4 - 3

- 4 - 3 = - 7

= - 7

= - 7

5^{2} + 55 - 14

2 (- 5)^{2} - 3 (- 5)

(3 + 9 + 2)^{2} - (3 - 9 - 2)^{2}

\frac{42}{2} \cdot (34 + 56)

(- 46) + (- 24) + (- 18)