What is -12/4+[4-(4/(-2)+12-2)-6] ?

The solution to -12/4+[4-(4/(-2)+12-2)-6] is -13

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-12/4+[4-(4/(-2)+12-2)-6]

- \frac{12}{4} + [4 - (\frac{4}{- 2} + 12 - 2) - 6]

- 13

Solution steps

- \frac{12}{4} + [4 - (\frac{4}{- 2} + 12 - 2) - 6]

\frac{12}{4} = 3

Divide the numbers:

\frac{12}{4} = 3

3

= - 3 + [4 - (\frac{4}{- 2} + 12 - 2) - 6]

Simplify

\frac{4}{- 2} : - 2

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= - 2

= - 3 + [4 - (- 2 + 12 - 2) - 6]

Follow the PEMDAS order of operations

Calculate within parentheses

[4 - (- 2 + 12 - 2) - 6] : - 10

4 - (- 2 + 12 - 2) - 6

Calculate within parentheses

(- 2 + 12 - 2) : 8

- 2 + 12 - 2

Add and subtract (left to right)

- 2 + 12 = 10

= 10 - 2

10 - 2 = 8

= 8

= 4 - 8 - 6

Add and subtract (left to right)

4 - 8 - 6 : - 10

4 - 8 - 6

4 - 8 = - 4

= - 4 - 6

- 4 - 6 = - 10

= - 10

= - 10

= - 3 - 10

Add and subtract (left to right)

- 3 - 10 : - 13

- 3 - 10

- 3 - 10 = - 13

= - 13

= - 13

(1)^{3} - 2 (1)^{2} + 3 (1) + 5

- (- 24) + (- 13) - (9)

(- 9 + 6) \times (- 2 - 5)

- 2^{3} - 1

3 (2 + 5)

What is -12/4+[4-(4/(-2)+12-2)-6] ?
The solution to -12/4+[4-(4/(-2)+12-2)-6] is -13