Solve (-2*(5-7)+|-5-8|-(-2)]:(-3)

$$( - 2 \cdot ( 5 - 7 ) + | - 5 - 8 | - ( - 2 ) ] : ( - 3 )$$

Evaluate

$$-\frac{19}{3}\approx -6.333333333$$

Solution Steps

Subtract 7 from 5 to get -2.

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

Multiply -2 and -2 to get 4.

$$\frac{4+|-5-8|-\left(-2\right)}{-3}$$

Subtract 8 from -5 to get -13.

$$\frac{4+|-13|-\left(-2\right)}{-3}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -13 is 13.

$$\frac{4+13-\left(-2\right)}{-3}$$

Add 4 and 13 to get 17.

$$\frac{17-\left(-2\right)}{-3}$$

The opposite of -2 is 2.

$$\frac{17+2}{-3}$$

Add 17 and 2 to get 19.

$$\frac{19}{-3}$$

Fraction \frac{19}{-3} can be rewritten as -\frac{19}{3} by extracting the negative sign.

$$-\frac{19}{3}$$

Factor

$$-\frac{19}{3} = -6\frac{1}{3} = -6.333333333333333$$