Question

find (-5x - 9) - (-6x - 1).

Explanation:

Step1: Distribute the negative sign

To simplify \((-5x - 9) - (-6x - 1)\), we first distribute the negative sign to the terms inside the second parentheses. This gives us \(-5x - 9 + 6x + 1\) (because subtracting a negative is like adding a positive: \(-(-6x)=6x\) and \(-(-1)=1\)).

Step2: Combine like terms

Now we combine the \(x\)-terms and the constant terms separately. For the \(x\)-terms: \(-5x + 6x = x\). For the constant terms: \(-9 + 1 = -8\). Putting these together, we get \(x - 8\).

Answer:

\(x - 8\)