Solve -15+(-2)*[+48:(-9+3)+(-25)*(-3):(+15)-(-2^3)]:(-5)

$$- 15 + ( - 2 ) \cdot [ + 48 : ( - 9 + 3 ) + ( - 25 ) \cdot ( - 3 ) : ( + 15 ) - ( - 2 ^ { 3 } ) ] : ( - 5 )$$

Evaluate

$$-13$$

Solution Steps

Add -9 and 3 to get -6.

$$-15+\frac{-2\left(\frac{48}{-6}+\frac{-25\left(-3\right)}{15}-\left(-2^{3}\right)\right)}{-5}$$

Divide 48 by -6 to get -8.

$$-15+\frac{-2\left(-8+\frac{-25\left(-3\right)}{15}-\left(-2^{3}\right)\right)}{-5}$$

Multiply -25 and -3 to get 75.

$$-15+\frac{-2\left(-8+\frac{75}{15}-\left(-2^{3}\right)\right)}{-5}$$

Divide 75 by 15 to get 5.

$$-15+\frac{-2\left(-8+5-\left(-2^{3}\right)\right)}{-5}$$

Add -8 and 5 to get -3.

$$-15+\frac{-2\left(-3-\left(-2^{3}\right)\right)}{-5}$$

Calculate 2 to the power of 3 and get 8.

$$-15+\frac{-2\left(-3-\left(-8\right)\right)}{-5}$$

The opposite of -8 is 8.

$$-15+\frac{-2\left(-3+8\right)}{-5}$$

Add -3 and 8 to get 5.

$$-15+\frac{-2\times 5}{-5}$$

Multiply -2 and 5 to get -10.

$$-15+\frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$-15+2$$

Add -15 and 2 to get -13.

$$-13$$

Factor

$$-13$$