Question
select the expression that is equal to (9x+3) - (5x-7)
Answers
GPT-4o mini
To simplify the expression \((9x + 3) - (5x - 7)\), follow these steps:
1. Distribute the negative sign across the terms in the parentheses:
\[
(9x + 3) - (5x - 7) = 9x + 3 - 5x + 7
\]
2. Combine like terms:
- Combine the \(x\) terms: \(9x - 5x = 4x\)
- Combine the constant terms: \(3 + 7 = 10\)
Putting it all together, the expression simplifies to:
\[
4x + 10
\]
So, the expression equal to \((9x + 3) - (5x - 7)\) is \(4x + 10\).
1. Distribute the negative sign across the terms in the parentheses:
\[
(9x + 3) - (5x - 7) = 9x + 3 - 5x + 7
\]
2. Combine like terms:
- Combine the \(x\) terms: \(9x - 5x = 4x\)
- Combine the constant terms: \(3 + 7 = 10\)
Putting it all together, the expression simplifies to:
\[
4x + 10
\]
So, the expression equal to \((9x + 3) - (5x - 7)\) is \(4x + 10\).