To solve the equation [tex]\(3x + 11 = k\)[/tex] for [tex]\(x\)[/tex], we need to isolate the variable [tex]\(x\)[/tex]. Follow these steps:
1. Subtract 11 from both sides of the equation to get rid of the constant term on the left side:
[tex]\[
3x + 11 - 11 = k - 11
\][/tex]
This simplifies to:
[tex]\[
3x = k - 11
\][/tex]
2. Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{k - 11}{3}
\][/tex]
Therefore, the solution to the equation [tex]\(3x + 11 = k\)[/tex] is:
[tex]\[
x = \frac{k - 11}{3}
\][/tex]
Comparing this to the given options, the correct choice is:
A. [tex]\(x = \frac{k - 11}{3}\)[/tex]
