Solve 2+(-5+8)(-12+0)-[3-(4-3)(-2)](-5)

$$2 + ( - 5 + 8 ) ( - 12 + 0 ) - [ 3 - ( 4 - 3 ) ( - 2 ) ] ( - 5 )$$

Evaluate

$$-9$$

Solution Steps

Add -5 and 8 to get 3.

$$2+3\left(-12+0\right)-\left(3-\left(4-3\right)\left(-2\right)\right)\left(-5\right)$$

Add -12 and 0 to get -12.

$$2+3\left(-12\right)-\left(3-\left(4-3\right)\left(-2\right)\right)\left(-5\right)$$

Multiply 3 and -12 to get -36.

$$2-36-\left(3-\left(4-3\right)\left(-2\right)\right)\left(-5\right)$$

Subtract 36 from 2 to get -34.

$$-34-\left(3-\left(4-3\right)\left(-2\right)\right)\left(-5\right)$$

Subtract 3 from 4 to get 1.

$$-34-\left(3-1\left(-2\right)\right)\left(-5\right)$$

Multiply 1 and -2 to get -2.

$$-34-\left(3-\left(-2\right)\right)\left(-5\right)$$

The opposite of -2 is 2.

$$-34-\left(3+2\right)\left(-5\right)$$

Add 3 and 2 to get 5.

$$-34-5\left(-5\right)$$

Multiply 5 and -5 to get -25.

$$-34-\left(-25\right)$$

The opposite of -25 is 25.

$$-34+25$$

Add -34 and 25 to get -9.

$$-9$$

Factor

$$-9$$