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

Mar 4, 2018

$6 a - 2$

#### Explanation:

As with any equation we want to simplify, we always expand brackets first.

color(red)(2)(color(green)(a+color(red)(3))+$\textcolor{red}{4} \left(\textcolor{g r e e n}{a} \textcolor{red}{- 2}\right)$

$\textcolor{red}{2} \times \textcolor{g r e e n}{a} = \textcolor{g r e e n}{2 a}$

$\textcolor{red}{2 \times 3} = \textcolor{red}{6}$

$\textcolor{red}{4} \times \textcolor{g r e e n}{a} = \textcolor{g r e e n}{4 a}$

$\textcolor{red}{4 \times - 2} = \textcolor{red}{- 8}$

Therefore this turns to:

$\textcolor{g r e e n}{2 a + 4 a} + \textcolor{red}{6 - 8}$

Collecting like terms:

$\textcolor{g r e e n}{2 a + 4 a = 6 a}$

$\textcolor{red}{6 - 8 = - 2}$

This turns to:

$\textcolor{g r e e n}{6 a} \textcolor{red}{- 2}$

$\therefore$ The answer is $6 a - 2$