Question

Select the expression equivalent to (-13x-15)-(-9x+16).

Answer 1

To simplify the expression \((-13x-15) - (-9x+16)\), follow these steps:

1. Distribute the negative sign in front of the second parenthesis:
\[
-(-9x + 16) = 9x - 16
\]

2. Rewrite the expression:
\[
(-13x - 15) + (9x - 16)
\]

3. Combine like terms. First, combine the \(x\) terms:
\[
-13x + 9x = -4x
\]

4. Now combine the constant terms:
\[
-15 - 16 = -31
\]

5. Putting it all together, we have:
\[
-4x - 31
\]

Thus, the expression equivalent to \((-13x-15)-(-9x+16)\) is \(-4x - 31\).