# How do you simplify 2x + 3( x + 2) - 6?

Nov 22, 2017

See a solution process below:

#### Explanation:

First, expand the term in parenthesis by multiplying the terms in parenthesis by the term outside the parenthesis:

$2 x + \textcolor{red}{3} \left(x + 2\right) - 6 \implies$

$2 x + \left(\textcolor{red}{3} \times x\right) + \left(\textcolor{red}{3} \times 2\right) - 6 \implies$

$2 x + 3 x + 6 - 6$

Now, we can combine like terms:

$\left(2 + 3\right) x + \left(6 - 6\right) \implies$

$5 x + 0 \implies$

$5 x$

Nov 22, 2017

Open brackets
$2 x + 3 x \cancel{+ 6} \cancel{- 6}$
$5 x$