Solve [-10:(-4)]-(-18)+19*(-2)=

$$[ - 10 : ( - 4 ) ] - ( - 18 ) + 19 \cdot ( - 2 ) =$$

Evaluate

$$-\frac{35}{2}=-17.5$$

Solution Steps

Reduce the fraction \frac{-10}{-4} to lowest terms by extracting and canceling out -2.

$$\frac{5}{2}-\left(-18\right)+19\left(-2\right)$$

The opposite of -18 is 18.

$$\frac{5}{2}+18+19\left(-2\right)$$

Convert 18 to fraction \frac{36}{2}.

$$\frac{5}{2}+\frac{36}{2}+19\left(-2\right)$$

Since \frac{5}{2} and \frac{36}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+36}{2}+19\left(-2\right)$$

Add 5 and 36 to get 41.

$$\frac{41}{2}+19\left(-2\right)$$

Multiply 19 and -2 to get -38.

$$\frac{41}{2}-38$$

Convert 38 to fraction \frac{76}{2}.

$$\frac{41}{2}-\frac{76}{2}$$

Since \frac{41}{2} and \frac{76}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-76}{2}$$

Subtract 76 from 41 to get -35.

$$-\frac{35}{2}$$

Factor

$$-\frac{35}{2} = -17\frac{1}{2} = -17.5$$