Solve 2-2(2-3div2--3)

$$2-2(2-3 \div 2--3)$$

Evaluate

$$-5$$

Solution Steps

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{4}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 4 to get 1.

$$2-2\left(\frac{1}{2}-\left(-3\right)\right)$$

The opposite of -3 is 3.

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

Convert 3 to fraction \frac{6}{2}.

$$2-2\left(\frac{1}{2}+\frac{6}{2}\right)$$

Since \frac{1}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$2-2\times \frac{1+6}{2}$$

Add 1 and 6 to get 7.

$$2-2\times \frac{7}{2}$$

Cancel out 2 and 2.

$$2-7$$

Subtract 7 from 2 to get -5.

$$-5$$

Factor

$$-5$$