Solve (-5+6div3)+4-7[2-5(4-6)]

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

Evaluate

$$-83$$

Solution Steps

Divide 6 by 3 to get 2.

$$-5+2+4-7\left(2-5\left(4-6\right)\right)$$

Add -5 and 2 to get -3.

$$-3+4-7\left(2-5\left(4-6\right)\right)$$

Add -3 and 4 to get 1.

$$1-7\left(2-5\left(4-6\right)\right)$$

Subtract 6 from 4 to get -2.

$$1-7\left(2-5\left(-2\right)\right)$$

Multiply 5 and -2 to get -10.

$$1-7\left(2-\left(-10\right)\right)$$

The opposite of -10 is 10.

$$1-7\left(2+10\right)$$

Add 2 and 10 to get 12.

$$1-7\times 12$$

Multiply 7 and 12 to get 84.

$$1-84$$

Subtract 84 from 1 to get -83.

$$-83$$

Factor

$$-83$$