Answered

Get personalized and accurate responses to your questions with IDNLearn.com. Discover detailed answers to your questions with our extensive database of expert knowledge.

Which expression is not equivalent to the other three?

A. [tex]2x + 2 + 2x + 3x - 8[/tex]

B. [tex]4 + 7x - 2[/tex]

C. [tex]-2 + 5x + 2x - 4[/tex]

D. [tex]8x - x - 6[/tex]

Sagot :

GinnyAnsweridn
Alright, let’s work through each expression step-by-step to simplify them.

### Expression 1:
[tex]\[2x + 2 + 2x + 3x - 8\][/tex]

1. Combine the [tex]\(x\)[/tex] terms:
[tex]\[2x + 2x + 3x = 7x\][/tex]

2. Combine the constant terms:
[tex]\[2 - 8 = -6\][/tex]

So, the simplified form of the first expression is:
[tex]\[7x - 6\][/tex]

### Expression 2:
[tex]\[4 + 7x - 2\][/tex]

1. Combine the constant terms:
[tex]\[4 - 2 = 2\][/tex]

So, the simplified form of the second expression is:
[tex]\[7x + 2\][/tex]

### Expression 3:
[tex]\[-2 + 5x + 2x - 4\][/tex]

1. Combine the [tex]\(x\)[/tex] terms:
[tex]\[5x + 2x = 7x\][/tex]

2. Combine the constant terms:
[tex]\[-2 - 4 = -6\][/tex]

So, the simplified form of the third expression is:
[tex]\[7x - 6\][/tex]

### Expression 4:
[tex]\[8x - x - 6\][/tex]

1. Combine the [tex]\(x\)[/tex] terms:
[tex]\[8x - x = 7x\][/tex]

So, the simplified form of the fourth expression is:
[tex]\[7x - 6\][/tex]

### Conclusion:
The simplified forms of the expressions are:
1. [tex]\(7x - 6\)[/tex]
2. [tex]\(7x + 2\)[/tex]
3. [tex]\(7x - 6\)[/tex]
4. [tex]\(7x - 6\)[/tex]

From these simplified forms, it's clear that the second expression, [tex]\(7x + 2\)[/tex], is the one that is not equivalent to the other three.
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.