What is -5/2 (-2)+3\times (2(-2)-3) ?

The solution to -5/2 (-2)+3\times (2(-2)-3) is -16

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-5/2 (-2)+3\times (2(-2)-3)

- \frac{5}{2} (- 2) + 3 \cdot (2 (- 2) - 3)

- 16

Solution steps

- \frac{5}{2} (- 2) + 3 (2 (- 2) - 3)

Follow the PEMDAS order of operations

Calculate within parentheses

(2 (- 2) - 3) : - 7

2 (- 2) - 3

Multiply and divide (left to right)

2 (- 2) : - 4

2 (- 2)

Apply rule

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

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

= - 4

= - 4 - 3

Add and subtract (left to right)

- 4 - 3 : - 7

- 4 - 3

- 4 - 3 = - 7

= - 7

= - 7

= - \frac{5}{2} (- 2) + 3 (- 7)

Multiply and divide (left to right)

- \frac{5}{2} (- 2) : 5

- \frac{5}{2} (- 2)

Apply rule

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

- \frac{5}{2} (- 2) = \frac{5}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{5}{2} \cdot \frac{2}{1}

Cross-cancel common factor:

2

= \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= 5

= 5 + 3 (- 7)

Multiply and divide (left to right)

3 (- 7) : - 21

3 (- 7)

Apply rule

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

3 (- 7) = - 3 \cdot 7 = - 21

= - 21

= 5 - 21

Add and subtract (left to right)

5 - 21 : - 16

5 - 21

5 - 21 = - 16

= - 16

= - 16

\frac{( - 3 ) + 2}{3 - ( - 3 )}

10 - 2 + 8 - 6 - 5 + 1

2 - (- 1)^{2}

2 - 5^{0} + 25 - 40

6 (1) + 4

What is -5/2 (-2)+3\times (2(-2)-3) ?
The solution to -5/2 (-2)+3\times (2(-2)-3) is -16