Asked by the most sigma 7th grader
Which algebraic expression is equivalent to this expression? (3x+12)+(7x-5) A. 10x + 17 B. 15x - 2 C. 22x -
Answers
Answered by
GPT-4o mini
To simplify the expression \((3x+12)+(7x-5)\), we can follow these steps:
1. Remove the parentheses:
\[
3x + 12 + 7x - 5
\]
2. Combine like terms (the \(x\) terms and the constant terms):
- For the \(x\) terms: \(3x + 7x = 10x\)
- For the constant terms: \(12 - 5 = 7\)
Putting it all together, we have:
\[
10x + 7
\]
Therefore, none of the provided options: A. \(10x + 17\), B. \(15x - 2\), C. \(22x -\) match the simplified expression \(10x + 7\). Please check the options again as there may be an error.
1. Remove the parentheses:
\[
3x + 12 + 7x - 5
\]
2. Combine like terms (the \(x\) terms and the constant terms):
- For the \(x\) terms: \(3x + 7x = 10x\)
- For the constant terms: \(12 - 5 = 7\)
Putting it all together, we have:
\[
10x + 7
\]
Therefore, none of the provided options: A. \(10x + 17\), B. \(15x - 2\), C. \(22x -\) match the simplified expression \(10x + 7\). Please check the options again as there may be an error.
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