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

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

Evaluate

$$22$$

Solution Steps

Subtract 5 from -6 to get -11.

$$7-\left(-11-3+6-4-3\right)-\left(2-7\right)-5$$

Subtract 3 from -11 to get -14.

$$7-\left(-14+6-4-3\right)-\left(2-7\right)-5$$

Add -14 and 6 to get -8.

$$7-\left(-8-4-3\right)-\left(2-7\right)-5$$

Subtract 4 from -8 to get -12.

$$7-\left(-12-3\right)-\left(2-7\right)-5$$

Subtract 3 from -12 to get -15.

$$7-\left(-15\right)-\left(2-7\right)-5$$

The opposite of -15 is 15.

$$7+15-\left(2-7\right)-5$$

Add 7 and 15 to get 22.

$$22-\left(2-7\right)-5$$

Subtract 7 from 2 to get -5.

$$22-\left(-5\right)-5$$

The opposite of -5 is 5.

$$22+5-5$$

Add 22 and 5 to get 27.

$$27-5$$

Subtract 5 from 27 to get 22.

$$22$$

Factor

$$2\times 11$$