Answered

IDNLearn.com: Your trusted source for finding accurate answers. Our community is ready to provide in-depth answers and practical solutions to any questions you may have.

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 being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.