Question

Select the expression that is equal to

(-3x+10) - (4x-8)

Group of answer choices

7x-18

-7x-2

x+18

-7x+18

Answer 1

To simplify the expression \((-3x + 10) - (4x - 8)\), we can follow these steps:

1. Distribute the negative sign across the second set of parentheses:
\[
(-3x + 10) - (4x - 8) = -3x + 10 - 4x + 8
\]

2. Combine like terms:
- Combine the \(x\) terms: \(-3x - 4x = -7x\)
- Combine the constant terms: \(10 + 8 = 18\)

Putting it all together, we have:
\[
-7x + 18
\]

Thus, the expression \((-3x + 10) - (4x - 8)\) simplifies to \(-7x + 18\).

Therefore, the correct answer is:
**-7x + 18**