Simplify 3/2(x-2)

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

Step 1

Apply the distributive property.

$\frac{3}{2} x + \frac{3}{2} \cdot - 2$

Step 2

Combine $\frac{3}{2}$ and $x$ .

$\frac{3 x}{2} + \frac{3}{2} \cdot - 2$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

$\frac{3 x}{2} + \frac{3}{2} \cdot (2 (- 1))$

Cancel the common factor.

$\frac{3 x}{2} + \frac{3}{2} \cdot (2 \cdot - 1)$

Rewrite the expression.

$\frac{3 x}{2} + 3 \cdot - 1$

$\frac{3 x}{2} + 3 \cdot - 1$

Step 4

Multiply $3$ by $- 1$ .

$\frac{3 x}{2} - 3$

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