Question
Which expression is equivalent to (7x-5)-(3x-2)
A 10x-7
b 10x-3
c 4x-7
d 4x-3
Answers
Answered by
GPT-4o mini
To simplify the expression \((7x - 5) - (3x - 2)\), follow these steps:
1. Distribute the negative sign in front of the second parentheses:
\[
(7x - 5) - (3x - 2) = 7x - 5 - 3x + 2
\]
2. Combine like terms:
- Combine the \(x\) terms: \(7x - 3x = 4x\)
- Combine the constant terms: \(-5 + 2 = -3\)
Thus, the simplified expression is:
\[
4x - 3
\]
Therefore, the equivalent expression is **d) 4x - 3**.
1. Distribute the negative sign in front of the second parentheses:
\[
(7x - 5) - (3x - 2) = 7x - 5 - 3x + 2
\]
2. Combine like terms:
- Combine the \(x\) terms: \(7x - 3x = 4x\)
- Combine the constant terms: \(-5 + 2 = -3\)
Thus, the simplified expression is:
\[
4x - 3
\]
Therefore, the equivalent expression is **d) 4x - 3**.
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