Simplify 4/3(3/2-3x)

$\frac{4}{3} (\frac{3}{2} - 3 x)$

Step 1

Apply the distributive property.

$\frac{4}{3} \cdot \frac{3}{2} + \frac{4}{3} (- 3 x)$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{2 (2)}{3} \cdot \frac{3}{2} + \frac{4}{3} (- 3 x)$

Cancel the common factor.

$\frac{2 \cdot 2}{3} \cdot \frac{3}{2} + \frac{4}{3} (- 3 x)$

Rewrite the expression.

$\frac{2}{3} \cdot 3 + \frac{4}{3} (- 3 x)$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{2}{3} \cdot 3 + \frac{4}{3} (- 3 x)$

Rewrite the expression.

$2 + \frac{4}{3} (- 3 x)$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $- 3 x$ .

$2 + \frac{4}{3} (3 (- x))$

Cancel the common factor.

$2 + \frac{4}{3} (3 (- x))$

Rewrite the expression.

$2 + 4 (- x)$

Step 5

Multiply $- 1$ by $4$ .

$2 - 4 x$