Algebra Examples

$(3 i - \frac{2}{3}) - (6 i - 5)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$3 i - \frac{2}{3} - (6 i) - - 5$

Step 1.2

Multiply $6$ by $- 1$ .

$3 i - \frac{2}{3} - 6 i - - 5$

Step 1.3

Multiply $- 1$ by $- 5$ .

$3 i - \frac{2}{3} - 6 i + 5$

Step 2

Subtract $6 i$ from $3 i$ .

$- \frac{2}{3} - 3 i + 5$

Step 3

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{2}{3} + 5 \cdot \frac{3}{3} - 3 i$

Step 4

Combine $5$ and $\frac{3}{3}$ .

$- \frac{2}{3} + \frac{5 \cdot 3}{3} - 3 i$

Step 5

Combine the numerators over the common denominator.

$\frac{- 2 + 5 \cdot 3}{3} - 3 i$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $5$ by $3$ .

$\frac{- 2 + 15}{3} - 3 i$

Step 6.2

Add $- 2$ and $15$ .

$\frac{13}{3} - 3 i$