Which of the following is an equivalent form of 
\[(2x+3)-(7x-6)\] ?
Choose 1 answer:
Choose 1 answer:
(Choice A)   
\[-5x-3\]
A
\[-5x-3\]
(Choice B)   
\[-5x+9\]
B
\[-5x+9\]
(Choice C)   
\[4x\]
C
\[4x\]
(Choice D)   
\[9x-3\]
D
\[9x-3\]

Let's simplify the expression \((2x+3)-(7x-6)\).

Step 1: Distribute the negative sign to the terms inside the second parentheses.
\[
(2x + 3) - (7x - 6) = 2x + 3 - 7x + 6
\]

Step 2: Combine like terms.
\[
2x - 7x = -5x
\]
\[
3 + 6 = 9
\]

So, the simplified expression is:
\[
-5x + 9
\]

Thus, the equivalent form is:
\[
\boxed{-5x + 9}
\]

The correct answer is **Choice B: \(-5x + 9\)**.

Do you want more details or have any questions?

Here are 5 related questions:
1. How do you distribute a negative sign across parentheses?
2. What are "like terms" and why do we combine them?
3. How can you check if your simplification is correct?
4. What is the difference between simplifying and factoring an expression?
5. How would this expression change if \(2x + 3\) was multiplied by \(7x - 6\) instead?

**Tip:** Always distribute negative signs carefully when subtracting expressions to avoid mistakes!

Which of the following is an equivalent form of (2x+3)-(7x-6)? Choose 1 answer: (Choice A) -5x-3 (Choice B) -5x+9 (Choice C) 4x (Choice D) 9x-3

Learn how to simplify the algebraic expression (2x+3)-(7x-6) with a detailed step-by-step explanation. This problem focuses on the distributive property and combining like terms, perfect for students in Grades 6-8.

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