Question

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

Answer 1

`-3x+9`

Explanation:

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

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

`-2x+6color(red)(-)(x-3)`

`rArr-2x+6color(red)(-)xcolor(red)(-)(-3)`

`rArr-2x+6-x+3`

Now we can combine similar terms:

`rArr(-2x-x)+(6+3)`

`rArr-3x+9`

Answer 2

`-3x+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.

`-2x+6-x+3`

which turns into

`-3x+9`