Solve 6(1-3)-(-8)1div(-1)(-2)(-3)/-5[(-12-(-9))]=

$$\frac { 6 ( 1 - 3 ) - ( - 8 ) 1 \div ( - 1 ) ( - 2 ) ( - 3 ) } { - 5 [ ( - 12 - ( - 9 ) ) ] } =$$

Evaluate

$$-4$$

Solution Steps

Subtract 3 from 1 to get -2.

$$\frac{6\left(-2\right)-\frac{-8}{-1}\left(-2\right)\left(-3\right)}{-5\left(-12-\left(-9\right)\right)}$$

Multiply 6 and -2 to get -12.

$$\frac{-12-\frac{-8}{-1}\left(-2\right)\left(-3\right)}{-5\left(-12-\left(-9\right)\right)}$$

Cancel out -1 and -1.

$$\frac{-12-\left(-8\left(-1\right)\left(-2\right)\left(-3\right)\right)}{-5\left(-12-\left(-9\right)\right)}$$

Multiply -8 and -1 to get 8.

$$\frac{-12-8\left(-2\right)\left(-3\right)}{-5\left(-12-\left(-9\right)\right)}$$

Multiply 8 and -2 to get -16.

$$\frac{-12-\left(-16\left(-3\right)\right)}{-5\left(-12-\left(-9\right)\right)}$$

Multiply -16 and -3 to get 48.

$$\frac{-12-48}{-5\left(-12-\left(-9\right)\right)}$$

Subtract 48 from -12 to get -60.

$$\frac{-60}{-5\left(-12-\left(-9\right)\right)}$$

The opposite of -9 is 9.

$$\frac{-60}{-5\left(-12+9\right)}$$

Add -12 and 9 to get -3.

$$\frac{-60}{-5\left(-3\right)}$$

Multiply -5 and -3 to get 15.

$$\frac{-60}{15}$$

Divide -60 by 15 to get -4.

$$-4$$

Factor

$$-4$$