Question
Select the expression that is equal to (9x + 3) - (5x - 7)
Answers
GPT-4o mini
To simplify the expression \((9x + 3) - (5x - 7)\), we first distribute the negative sign into the second set of parentheses:
\[
(9x + 3) - (5x - 7) = 9x + 3 - 5x + 7
\]
Next, we can combine the like terms:
1. For the \(x\) terms: \(9x - 5x = 4x\)
2. For the constant terms: \(3 + 7 = 10\)
Putting it all together, we have:
\[
4x + 10
\]
So the expression \((9x + 3) - (5x - 7)\) simplifies to \(4x + 10\).
\[
(9x + 3) - (5x - 7) = 9x + 3 - 5x + 7
\]
Next, we can combine the like terms:
1. For the \(x\) terms: \(9x - 5x = 4x\)
2. For the constant terms: \(3 + 7 = 10\)
Putting it all together, we have:
\[
4x + 10
\]
So the expression \((9x + 3) - (5x - 7)\) simplifies to \(4x + 10\).