Solve {[(-5-3*2)]-[3-(-12)-4*(-7)]}

$$\{ [ ( - 5 - 3 \cdot 2 ) ] - [ 3 - ( - 12 ) - 4 \cdot ( - 7 ) ] \}$$

Evaluate

$$-54$$

Solution Steps

Multiply 3 and 2 to get 6.

$$-5-6-\left(3-\left(-12\right)-4\left(-7\right)\right)$$

Subtract 6 from -5 to get -11.

$$-11-\left(3-\left(-12\right)-4\left(-7\right)\right)$$

The opposite of -12 is 12.

$$-11-\left(3+12-4\left(-7\right)\right)$$

Add 3 and 12 to get 15.

$$-11-\left(15-4\left(-7\right)\right)$$

Multiply 4 and -7 to get -28.

$$-11-\left(15-\left(-28\right)\right)$$

The opposite of -28 is 28.

$$-11-\left(15+28\right)$$

Add 15 and 28 to get 43.

$$-11-43$$

Subtract 43 from -11 to get -54.

$$-54$$

Factor

$$-54$$