Solve -5*[(-8+6:2)-3(+20:(-5)+2)(-2)]=

$$- 5 \cdot [ ( - 8 + 6 : 2 ) - 3 ( + 20 : ( - 5 ) + 2 ) ( - 2 ) ] =$$

Evaluate

$$85$$

Solution Steps

Divide 6 by 2 to get 3.

$$-5\left(-8+3-3\left(\frac{20}{-5}+2\right)\left(-2\right)\right)$$

Add -8 and 3 to get -5.

$$-5\left(-5-3\left(\frac{20}{-5}+2\right)\left(-2\right)\right)$$

Divide 20 by -5 to get -4.

$$-5\left(-5-3\left(-4+2\right)\left(-2\right)\right)$$

Add -4 and 2 to get -2.

$$-5\left(-5-3\left(-2\right)\left(-2\right)\right)$$

Multiply 3 and -2 to get -6.

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

Multiply -6 and -2 to get 12.

$$-5\left(-5-12\right)$$

Subtract 12 from -5 to get -17.

$$-5\left(-17\right)$$

Multiply -5 and -17 to get 85.

$$85$$

Factor

$$5\times 17$$