Solve 2{1-[6+4(2*7-5*4)]-5}-6

$$2 \{ 1 - [ 6 + 4 ( 2 \cdot 7 - 5 \cdot 4 ) ] - 5 \} - 6$$

Evaluate

$$22$$

Solution Steps

Multiply 2 and 7 to get 14.

$$2\left(1-\left(6+4\left(14-5\times 4\right)\right)-5\right)-6$$

Multiply 5 and 4 to get 20.

$$2\left(1-\left(6+4\left(14-20\right)\right)-5\right)-6$$

Subtract 20 from 14 to get -6.

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

Multiply 4 and -6 to get -24.

$$2\left(1-\left(6-24\right)-5\right)-6$$

Subtract 24 from 6 to get -18.

$$2\left(1-\left(-18\right)-5\right)-6$$

The opposite of -18 is 18.

$$2\left(1+18-5\right)-6$$

Add 1 and 18 to get 19.

$$2\left(19-5\right)-6$$

Subtract 5 from 19 to get 14.

$$2\times 14-6$$

Multiply 2 and 14 to get 28.

$$28-6$$

Subtract 6 from 28 to get 22.

$$22$$

Factor

$$2\times 11$$