Solve (4-5+2)-3-{7-[6+(-3-7)-(-2+4)]+3-4}

$$( 4 - 5 + 2 ) - 3 - \{ 7 - [ 6 + ( - 3 - 7 ) - ( - 2 + 4 ) ] + 3 - 4 \}$$

Evaluate

$$-14$$

Solution Steps

Subtract 5 from 4 to get -1.

$$-1+2-3-\left(7-\left(6-3-7-\left(-2+4\right)\right)+3-4\right)$$

Add -1 and 2 to get 1.

$$1-3-\left(7-\left(6-3-7-\left(-2+4\right)\right)+3-4\right)$$

Subtract 3 from 1 to get -2.

$$-2-\left(7-\left(6-3-7-\left(-2+4\right)\right)+3-4\right)$$

Subtract 3 from 6 to get 3.

$$-2-\left(7-\left(3-7-\left(-2+4\right)\right)+3-4\right)$$

Subtract 7 from 3 to get -4.

$$-2-\left(7-\left(-4-\left(-2+4\right)\right)+3-4\right)$$

Add -2 and 4 to get 2.

$$-2-\left(7-\left(-4-2\right)+3-4\right)$$

Subtract 2 from -4 to get -6.

$$-2-\left(7-\left(-6\right)+3-4\right)$$

The opposite of -6 is 6.

$$-2-\left(7+6+3-4\right)$$

Add 7 and 6 to get 13.

$$-2-\left(13+3-4\right)$$

Add 13 and 3 to get 16.

$$-2-\left(16-4\right)$$

Subtract 4 from 16 to get 12.

$$-2-12$$

Subtract 12 from -2 to get -14.

$$-14$$

Factor

$$-14$$