Final answer:
To simplify the expression −(5x+9)−(−6x−1), distribute the negative sign to the terms inside the parentheses and combine like terms. The result is x − 8.
Step-by-step explanation:
To find the result of −(5x+9)−(−6x−1), you should distribute the negative sign in the second set of parentheses and then combine like terms. This process is also known as simplifying the expression.
First, distribute the negative sign to each term in the second set of parentheses, changing the signs of the terms inside:
- −(5x+9) becomes −5x − 9.
- −(−6x − 1) becomes +6x + 1, because −(−x) equals +x.
Now, combine like terms:
(−5x − 9) + (6x + 1) = −5x + 6x − 9 + 1
Add the x terms together and the constant terms together:
1x − 8
So, the simplified expression is x − 8.