Question
Select the expression that is equal to(9x+3)-(5x-7) . A. 14x-4 B. 14x+10 C. 3x-3 D. 3x+10
Answers
GPT-4o mini
To simplify the expression \((9x + 3) - (5x - 7)\), we first distribute the negative sign across the second part:
\[
(9x + 3) - (5x - 7) = 9x + 3 - 5x + 7
\]
Next, we combine like terms:
1. Combine the \(x\) terms: \(9x - 5x = 4x\)
2. Combine the constant terms: \(3 + 7 = 10\)
Putting it all together, we have:
\[
4x + 10
\]
None of the provided options seem to match \(4x + 10\), so let's double-check:
Start from the original expression and simplify it correctly.
1. Original expression: \((9x + 3) - (5x - 7)\)
2. Distributing the negative: \(9x + 3 - 5x + 7\)
3. Simplifying \(9x - 5x = 4x\) and \(3 + 7 = 10\)
The expression simplifies to:
\[
4x + 10
\]
Since there are no options that match \(4x + 10\), it seems there was a misunderstanding with the choices provided or the calculation. The answer is \(4x + 10\).
\[
(9x + 3) - (5x - 7) = 9x + 3 - 5x + 7
\]
Next, we combine like terms:
1. Combine the \(x\) terms: \(9x - 5x = 4x\)
2. Combine the constant terms: \(3 + 7 = 10\)
Putting it all together, we have:
\[
4x + 10
\]
None of the provided options seem to match \(4x + 10\), so let's double-check:
Start from the original expression and simplify it correctly.
1. Original expression: \((9x + 3) - (5x - 7)\)
2. Distributing the negative: \(9x + 3 - 5x + 7\)
3. Simplifying \(9x - 5x = 4x\) and \(3 + 7 = 10\)
The expression simplifies to:
\[
4x + 10
\]
Since there are no options that match \(4x + 10\), it seems there was a misunderstanding with the choices provided or the calculation. The answer is \(4x + 10\).