Sure! Let's work through the expression step-by-step to simplify it.
We start with the expression [tex]\((-2x + 5) - (-3x - 1)\)[/tex].
1. Distribute the negative sign in the second part:
When you subtract a quantity, it is equivalent to adding its inverse. So, we need to distribute the negative sign inside the parentheses.
[tex]\[
(-2x + 5) - (-3x - 1)
\][/tex]
Distributing the negative sign:
[tex]\[
-2x + 5 + 3x + 1
\][/tex]
2. Combine like terms:
Now we need to combine the like terms. Like terms are terms that contain the same variable raised to the same power. In this case, we have [tex]\(-2x\)[/tex] and [tex]\(3x\)[/tex] which are like terms.
Combining [tex]\(-2x\)[/tex] and [tex]\(3x\)[/tex] involves performing the addition:
[tex]\[
-2x + 3x = x
\][/tex]
Next, combine the constants [tex]\(5\)[/tex] and [tex]\(1\)[/tex]:
[tex]\[
5 + 1 = 6
\][/tex]
3. Write the final simplified expression:
So, after combining like terms, we get:
[tex]\[
x + 6
\][/tex]
Therefore, the result of the multiplication [tex]\((-2x + 5) - (-3x - 1)\)[/tex] is:
[tex]\[
x + 6
\][/tex]
