Solve -8-[5-11/5*(-12/3)]

$$- 8 - [ 5 - 1 \frac { 1 } { 5 } \times ( - 1 \frac { 2 } { 3 } ) ]$$

Evaluate

$$-15$$

Solution Steps

Multiply 1 and 5 to get 5.

$$-8-\left(5-\frac{5+1}{5}\left(-\frac{1\times 3+2}{3}\right)\right)$$

Add 5 and 1 to get 6.

$$-8-\left(5-\frac{6}{5}\left(-\frac{1\times 3+2}{3}\right)\right)$$

Multiply 1 and 3 to get 3.

$$-8-\left(5-\frac{6}{5}\left(-\frac{3+2}{3}\right)\right)$$

Add 3 and 2 to get 5.

$$-8-\left(5-\frac{6}{5}\left(-\frac{5}{3}\right)\right)$$

Multiply \frac{6}{5} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$-8-\left(5-\frac{6\left(-5\right)}{5\times 3}\right)$$

Do the multiplications in the fraction \frac{6\left(-5\right)}{5\times 3}.

$$-8-\left(5-\frac{-30}{15}\right)$$

Divide -30 by 15 to get -2.

$$-8-\left(5-\left(-2\right)\right)$$

The opposite of -2 is 2.

$$-8-\left(5+2\right)$$

Add 5 and 2 to get 7.

$$-8-7$$

Subtract 7 from -8 to get -15.

$$-15$$

Factor

$$-15$$