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

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

Evaluate

$$-184$$

Solution Steps

Multiply 3 and 4 to get 12. Multiply 2 and 5 to get 10.

$$2\left(-2+12\left(-2\right)\times 4-3+10\right)-2$$

Multiply 12 and -2 to get -24.

$$2\left(-2-24\times 4-3+10\right)-2$$

Multiply -24 and 4 to get -96.

$$2\left(-2-96-3+10\right)-2$$

Subtract 96 from -2 to get -98.

$$2\left(-98-3+10\right)-2$$

Subtract 3 from -98 to get -101.

$$2\left(-101+10\right)-2$$

Add -101 and 10 to get -91.

$$2\left(-91\right)-2$$

Multiply 2 and -91 to get -182.

$$-182-2$$

Subtract 2 from -182 to get -184.

$$-184$$

Factor

$$-184$$