Solve 32div{2*[-3+15div(-7+10)]}-[5*(-4)+9+(-3)]

$$32 \div \{ 2 \cdot [ - 3 + 15 \div ( - 7 + 10 ) ] \} - [ 5 \cdot ( - 4 ) + 9 + ( - 3 ) ]$$

Evaluate

$$22$$

Solution Steps

Add -7 and 10 to get 3.

$$\frac{32}{2\left(-3+\frac{15}{3}\right)}-\left(5\left(-4\right)+9-3\right)$$

Divide 15 by 3 to get 5.

$$\frac{32}{2\left(-3+5\right)}-\left(5\left(-4\right)+9-3\right)$$

Add -3 and 5 to get 2.

$$\frac{32}{2\times 2}-\left(5\left(-4\right)+9-3\right)$$

Multiply 2 and 2 to get 4.

$$\frac{32}{4}-\left(5\left(-4\right)+9-3\right)$$

Divide 32 by 4 to get 8.

$$8-\left(5\left(-4\right)+9-3\right)$$

Multiply 5 and -4 to get -20.

$$8-\left(-20+9-3\right)$$

Add -20 and 9 to get -11.

$$8-\left(-11-3\right)$$

Subtract 3 from -11 to get -14.

$$8-\left(-14\right)$$

The opposite of -14 is 14.

$$8+14$$

Add 8 and 14 to get 22.

$$22$$

Factor

$$2\times 11$$