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

Mar 26, 2018

$- 3 x + 9$

#### Explanation:

In this question, it is important to recognize that the minus sign in front of $- \left(x - 3\right)$ applies to both $x$ and $- 3$.

Let's remove the parentheses by distributing the minus sign to the terms inside them:

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

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

$\Rightarrow - 2 x + 6 - x + 3$

Now we can combine similar terms:

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

$\Rightarrow - 3 x + 9$

Mar 26, 2018

$- 3 x + 9$

#### Explanation:

You have to use PEMDAS and know that parentheses are always done before anything else.

So you have to distribute the $-$ to $x - 3$, which equals $- x + 3$. Then you open the parenthesis and add or subtract like terms.

$- 2 x + 6 - x + 3$

which turns into

$- 3 x + 9$