Answered

Join the growing community of curious minds on IDNLearn.com and get the answers you need. Our platform is designed to provide accurate and comprehensive answers to any questions you may have.

What is the solution to this equation?

[tex]\[ 4x + 2(x + 6) = 36 \][/tex]

A. [tex]\[ x = 8 \][/tex]
B. [tex]\[ x = 4 \][/tex]
C. [tex]\[ x = 7 \][/tex]
D. [tex]\[ x = 5 \][/tex]

Sagot :

GinnyAnsweridn
To solve the equation [tex]\(4x + 2(x + 6) = 36\)[/tex], follow these steps:

1. Distribute [tex]\(2\)[/tex] into the terms inside the parentheses:
[tex]\[ 4x + 2(x + 6) = 4x + 2x + 12 \][/tex]

2. Combine like terms:
[tex]\[ 4x + 2x + 12 = 6x + 12 \][/tex]

3. Rewrite the equation:
[tex]\[ 6x + 12 = 36 \][/tex]

4. Isolate the variable term by subtracting 12 from both sides:
[tex]\[ 6x + 12 - 12 = 36 - 12 \][/tex]
[tex]\[ 6x = 24 \][/tex]

5. Solve for [tex]\(x\)[/tex] by dividing both sides by 6:
[tex]\[ x = \frac{24}{6} \][/tex]
[tex]\[ x = 4 \][/tex]

So, the solution to the equation [tex]\(4x + 2(x + 6) = 36\)[/tex] is [tex]\(\boxed{4}\)[/tex], which corresponds to answer choice B.
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.