# How do you simplify 3(x+1 1/2)-3?

Oct 26, 2016

The answer is $3 x + \frac{3}{2}$.

#### Explanation:

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

Convert $1 \frac{1}{2}$ to the improper fraction $\frac{3}{2}$.

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

Expand $3 \left(x + \frac{3}{2}\right)$ using the distributive property.

$3 x + \frac{9}{2} - 3$

Multiply $- 3$ by $\frac{2}{2}$ to produce a fraction with the common denominator $2$.

$3 x + \frac{9}{2} - \frac{6}{2}$

Subtract $\frac{6}{2}$ from $\frac{9}{2}$.

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