# How do you simplify  -4x + 3 (2x - 5)?

Feb 22, 2017

See the entire simplification process below:

#### Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by $\textcolor{red}{3}$. Be careful to handle the signs of the individual terms correctly:

$- 4 x + \textcolor{red}{3} \left(2 x - 5\right) \to$

$- 4 x + \left(\textcolor{red}{3} \times 2 x\right) - \left(\textcolor{red}{3} \times 5\right) \to$

$- 4 x + 6 x - 15$

Now, combine like terms:

$\left(- 4 + 6\right) x - 15 \to$

$2 x - 15$