To solve the equation [tex]\(2(x + 4) = 24\)[/tex], let's go through the steps:
1. Distribute the 2:
[tex]\[
2(x + 4) = 24
\][/tex]
Multiply the 2 by both terms inside the parentheses:
[tex]\[
2x + 8 = 24
\][/tex]
2. Isolate the variable term:
To eliminate the constant term on the left-hand side, subtract 8 from both sides:
[tex]\[
2x + 8 - 8 = 24 - 8
\][/tex]
Simplifying this gives:
[tex]\[
2x = 16
\][/tex]
3. Solve for x:
To isolate [tex]\(x\)[/tex], divide both sides by 2:
[tex]\[
\frac{2x}{2} = \frac{16}{2}
\][/tex]
This simplifies to:
[tex]\[
x = 8
\][/tex]
So, the solution to the equation [tex]\(2(x + 4) = 24\)[/tex] is [tex]\(x = 8\)[/tex].
Thus, the correct answer is:
D. [tex]\(x = 8\)[/tex]
