Solve 2(-8)+3(-6)-(2(-2)*4((-4)+2(+10)div(-6)+5(-8))(-4)

$$2(-8)+3(-6)-(2(-2) \times 4((-4)+2(+10) \div (-6)+5(-8))(-4)$$

Evaluate

$$\frac{8986}{3}\approx 2995.333333333$$

Solution Steps

Multiply 2 and -8 to get -16. Multiply 3 and -6 to get -18.

$$-16-18-2\left(-2\right)\times 4\left(-4+\frac{2\times 10}{-6}+5\left(-8\right)\right)\left(-4\right)$$

Subtract 18 from -16 to get -34.

$$-34-2\left(-2\right)\times 4\left(-4+\frac{2\times 10}{-6}+5\left(-8\right)\right)\left(-4\right)$$

Multiply 2 and -2 to get -4.

$$-34-\left(-4\times 4\left(-4+\frac{2\times 10}{-6}+5\left(-8\right)\right)\left(-4\right)\right)$$

Multiply -4 and 4 to get -16.

$$-34-\left(-16\left(-4+\frac{2\times 10}{-6}+5\left(-8\right)\right)\left(-4\right)\right)$$

Multiply 2 and 10 to get 20.

$$-34-\left(-16\left(-4+\frac{20}{-6}+5\left(-8\right)\right)\left(-4\right)\right)$$

Reduce the fraction \frac{20}{-6} to lowest terms by extracting and canceling out 2.

$$-34-\left(-16\left(-4-\frac{10}{3}+5\left(-8\right)\right)\left(-4\right)\right)$$

Convert -4 to fraction -\frac{12}{3}.

$$-34-\left(-16\left(-\frac{12}{3}-\frac{10}{3}+5\left(-8\right)\right)\left(-4\right)\right)$$

Since -\frac{12}{3} and \frac{10}{3} have the same denominator, subtract them by subtracting their numerators.

$$-34-\left(-16\left(\frac{-12-10}{3}+5\left(-8\right)\right)\left(-4\right)\right)$$

Subtract 10 from -12 to get -22.

$$-34-\left(-16\left(-\frac{22}{3}+5\left(-8\right)\right)\left(-4\right)\right)$$

Multiply 5 and -8 to get -40.

$$-34-\left(-16\left(-\frac{22}{3}-40\right)\left(-4\right)\right)$$

Convert 40 to fraction \frac{120}{3}.

$$-34-\left(-16\left(-\frac{22}{3}-\frac{120}{3}\right)\left(-4\right)\right)$$

Since -\frac{22}{3} and \frac{120}{3} have the same denominator, subtract them by subtracting their numerators.

$$-34-\left(-16\times \frac{-22-120}{3}\left(-4\right)\right)$$

Subtract 120 from -22 to get -142.

$$-34-\left(-16\left(-\frac{142}{3}\right)\left(-4\right)\right)$$

Express -16\left(-\frac{142}{3}\right) as a single fraction.

$$-34-\frac{-16\left(-142\right)}{3}\left(-4\right)$$

Multiply -16 and -142 to get 2272.

$$-34-\frac{2272}{3}\left(-4\right)$$

Express \frac{2272}{3}\left(-4\right) as a single fraction.

$$-34-\frac{2272\left(-4\right)}{3}$$

Multiply 2272 and -4 to get -9088.

$$-34-\frac{-9088}{3}$$

Fraction \frac{-9088}{3} can be rewritten as -\frac{9088}{3} by extracting the negative sign.

$$-34-\left(-\frac{9088}{3}\right)$$

The opposite of -\frac{9088}{3} is \frac{9088}{3}.

$$-34+\frac{9088}{3}$$

Convert -34 to fraction -\frac{102}{3}.

$$-\frac{102}{3}+\frac{9088}{3}$$

Since -\frac{102}{3} and \frac{9088}{3} have the same denominator, add them by adding their numerators.

$$\frac{-102+9088}{3}$$

Add -102 and 9088 to get 8986.

$$\frac{8986}{3}$$

Factor

$$\frac{2 \cdot 4493}{3} = 2995\frac{1}{3} = 2995.3333333333335$$