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.
( 7x + 5)+( - 3x - 2 )
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.
7 x +5&
(+) -3 x -2&
4 x +3&
Therefore, we get the following result.
(7x+5)-(3x+2) = 4x+3
