Asked by yen
Simplify:
8x+3(x+5)-5(x-4)
A.
6x + 35
B.
6x + 1
C. 6x-5
D.
43x
8x+3(x+5)-5(x-4)
A.
6x + 35
B.
6x + 1
C. 6x-5
D.
43x
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \(8x + 3(x + 5) - 5(x - 4)\), let's follow these steps:
1. Distribute the \(3\) and \(-5\) across their respective parentheses:
\[
8x + 3x + 15 - 5x + 20
\]
2. Combine like terms:
- Combine the \(x\) terms: \(8x + 3x - 5x\) gives:
\[
(8 + 3 - 5)x = 6x
\]
- Combine the constant terms: \(15 + 20\) gives:
\[
35
\]
3. Putting it all together, we have:
\[
6x + 35
\]
Thus, the simplified expression is:
**A. 6x + 35**
1. Distribute the \(3\) and \(-5\) across their respective parentheses:
\[
8x + 3x + 15 - 5x + 20
\]
2. Combine like terms:
- Combine the \(x\) terms: \(8x + 3x - 5x\) gives:
\[
(8 + 3 - 5)x = 6x
\]
- Combine the constant terms: \(15 + 20\) gives:
\[
35
\]
3. Putting it all together, we have:
\[
6x + 35
\]
Thus, the simplified expression is:
**A. 6x + 35**
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