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.
