Solve [5-7](2-3)-2[5-3[2-(-4+8)]]

$$[ 5 - 7 ] ( 2 - 3 ) - 2 [ 5 - 3 [ 2 - ( - 4 + 8 ) ] ]$$

Evaluate

$$-20$$

Solution Steps

Subtract 7 from 5 to get -2.

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

Subtract 3 from 2 to get -1.

$$-2\left(-1\right)-2\left(5-3\left(2-\left(-4+8\right)\right)\right)$$

Multiply -2 and -1 to get 2.

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

Add -4 and 8 to get 4.

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

Subtract 4 from 2 to get -2.

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

Multiply 3 and -2 to get -6.

$$2-2\left(5-\left(-6\right)\right)$$

The opposite of -6 is 6.

$$2-2\left(5+6\right)$$

Add 5 and 6 to get 11.

$$2-2\times 11$$

Multiply 2 and 11 to get 22.

$$2-22$$

Subtract 22 from 2 to get -20.

$$-20$$

Factor

$$-20$$