Solve 2[-4(3div2)-5(6-1)-5]

$$2 [ - 4 ( 3 \div 2 ) - 5 ( 6 - 1 ) - 5 ]$$

Evaluate

$$-72$$

Solution Steps

Express -4\times \frac{3}{2} as a single fraction.

$$2\left(\frac{-4\times 3}{2}-5\left(6-1\right)-5\right)$$

Multiply -4 and 3 to get -12.

$$2\left(\frac{-12}{2}-5\left(6-1\right)-5\right)$$

Divide -12 by 2 to get -6.

$$2\left(-6-5\left(6-1\right)-5\right)$$

Subtract 1 from 6 to get 5.

$$2\left(-6-5\times 5-5\right)$$

Multiply 5 and 5 to get 25.

$$2\left(-6-25-5\right)$$

Subtract 25 from -6 to get -31.

$$2\left(-31-5\right)$$

Subtract 5 from -31 to get -36.

$$2\left(-36\right)$$

Multiply 2 and -36 to get -72.

$$-72$$

Factor

$$-72$$