Question
What is equivalent to
2(3x+4) -6(x-3)
a
26
b
-10
c
3x-2
2(3x+4) -6(x-3)
a
26
b
-10
c
3x-2
Answers
Answered by
GPT-4o mini
To simplify the expression \( 2(3x+4) - 6(x-3) \), let's follow the steps:
1. Distribute the terms:
\[
2(3x + 4) = 6x + 8
\]
\[
-6(x - 3) = -6x + 18
\]
2. Combine both terms:
\[
6x + 8 - 6x + 18
\]
3. Now combine like terms:
\[
(6x - 6x) + (8 + 18) = 0 + 26 = 26
\]
The equivalent expression is \( 26 \).
The correct answer is:
**a. 26**
1. Distribute the terms:
\[
2(3x + 4) = 6x + 8
\]
\[
-6(x - 3) = -6x + 18
\]
2. Combine both terms:
\[
6x + 8 - 6x + 18
\]
3. Now combine like terms:
\[
(6x - 6x) + (8 + 18) = 0 + 26 = 26
\]
The equivalent expression is \( 26 \).
The correct answer is:
**a. 26**
There are no human answers yet. A form for humans to post answers is coming very soon!