Question

simplify:

8x + 3(x +5) - 5(x - 4)

Answer 1

To simplify the expression \( 8x + 3(x + 5) - 5(x - 4) \), we can follow these steps:

1. Distribute the terms inside the parentheses:
\[
3(x + 5) = 3x + 15
\]
\[
-5(x - 4) = -5x + 20
\]

2. Substitute these back into the original expression:
\[
8x + (3x + 15) + (-5x + 20)
\]

3. Combine like terms:
- Combine the \( x \) terms:
\[
8x + 3x - 5x = (8 + 3 - 5)x = 6x
\]
- Combine the constant terms:
\[
15 + 20 = 35
\]

4. Putting it all together gives:
\[
6x + 35
\]

Thus, the simplified expression is:
\[
\boxed{6x + 35}
\]