Solve 2-4{6+9[8+7(8-2*5)]}=

$$2 - 4 \{ 6 + 9 [ 8 + 7 ( 8 - 2 \times 5 ) ] \} =$$

Evaluate

$$194$$

Solution Steps

Multiply 2 and 5 to get 10.

$$2-4\left(6+9\left(8+7\left(8-10\right)\right)\right)$$

Subtract 10 from 8 to get -2.

$$2-4\left(6+9\left(8+7\left(-2\right)\right)\right)$$

Multiply 7 and -2 to get -14.

$$2-4\left(6+9\left(8-14\right)\right)$$

Subtract 14 from 8 to get -6.

$$2-4\left(6+9\left(-6\right)\right)$$

Multiply 9 and -6 to get -54.

$$2-4\left(6-54\right)$$

Subtract 54 from 6 to get -48.

$$2-4\left(-48\right)$$

Multiply 4 and -48 to get -192.

$$2-\left(-192\right)$$

The opposite of -192 is 192.

$$2+192$$

Add 2 and 192 to get 194.

$$194$$

Factor

$$2\times 97$$