Answered

Get detailed and accurate responses to your questions on IDNLearn.com. Discover reliable and timely information on any topic from our network of experienced professionals.

Select the correct answer.

Which equation is equivalent to the given equation?

[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]

A. [tex]\(-8x - 104 = 6x - 14\)[/tex]

B. [tex]\(-8x + 13 = -2x + 14\)[/tex]

C. [tex]\(-8x + 13 = 6x - 7\)[/tex]

D. [tex]\(-8x - 104 = -2x + 14\)[/tex]

Sagot :

GinnyAnsweridn
Let's simplify the given equation step by step to find the equivalent equation.

The given equation is:
[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]

1. First, distribute the constants inside the parentheses:

[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]
[tex]\[ -8x - 104 = 2x - 14 + 4x \][/tex]

2. Next, combine like terms on the right side of the equation:

[tex]\[ -8x - 104 = 6x - 14 \][/tex]

Therefore, the equation that is equivalent to the given equation is:
[tex]\[ -8x - 104 = 6x - 14 \][/tex]

So, the correct answer is:
[tex]\[ -8 x-104=6 x-14 \][/tex]
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.