First, let's find the additive inverse of the linear expression within the second set of parentheses. To do so, we can distribute -1 into the second set of parentheses. When we do so, we multiply each term of that linear expression by -1.
Now, let's identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined.
( - x + 3)+( - x 1colII- 5 )
In this case, we have two x-terms and two constants. Let's arrange the like terms in columns. Then, let's perform the addition.
- x +3&
(+) - x -5&
-2 x -2&
Therefore, we get the following result.
(- x +3)-(x-5) = -2 x - 2
