Solve -(2-5)*[12+4*(3-8)]-(4-5)*[11-4*(8-3*2)]+2=

$$- ( 2 - 5 ) \cdot [ 12 + 4 \cdot ( 3 - 8 ) ] - ( 4 - 5 ) \cdot [ 11 - 4 \cdot ( 8 - 3 \cdot 2 ) ] + 2 =$$

Evaluate

$$-19$$

Solution Steps

Subtract 5 from 2 to get -3.

$$\left(-\left(-3\right)\right)\left(12+4\left(3-8\right)\right)-\left(4-5\right)\left(11-4\left(8-3\times 2\right)\right)+2$$

The opposite of -3 is 3.

$$3\left(12+4\left(3-8\right)\right)-\left(4-5\right)\left(11-4\left(8-3\times 2\right)\right)+2$$

Subtract 8 from 3 to get -5.

$$3\left(12+4\left(-5\right)\right)-\left(4-5\right)\left(11-4\left(8-3\times 2\right)\right)+2$$

Multiply 4 and -5 to get -20.

$$3\left(12-20\right)-\left(4-5\right)\left(11-4\left(8-3\times 2\right)\right)+2$$

Subtract 20 from 12 to get -8.

$$3\left(-8\right)-\left(4-5\right)\left(11-4\left(8-3\times 2\right)\right)+2$$

Multiply 3 and -8 to get -24.

$$-24-\left(4-5\right)\left(11-4\left(8-3\times 2\right)\right)+2$$

Subtract 5 from 4 to get -1.

$$-24-\left(-\left(11-4\left(8-3\times 2\right)\right)\right)+2$$

Multiply 3 and 2 to get 6.

$$-24-\left(-\left(11-4\left(8-6\right)\right)\right)+2$$

Subtract 6 from 8 to get 2.

$$-24-\left(-\left(11-4\times 2\right)\right)+2$$

Multiply 4 and 2 to get 8.

$$-24-\left(-\left(11-8\right)\right)+2$$

Subtract 8 from 11 to get 3.

$$-24-\left(-3\right)+2$$

The opposite of -3 is 3.

$$-24+3+2$$

Add -24 and 3 to get -21.

$$-21+2$$

Add -21 and 2 to get -19.

$$-19$$

Factor

$$-19$$