Sure, let's solve the equation [tex]\(3x + 11 = k\)[/tex] for [tex]\(x\)[/tex] step-by-step.
1. Start with the given equation:
[tex]\[
3x + 11 = k
\][/tex]
2. Isolate the term involving [tex]\(x\)[/tex] on one side. To do this, we need to subtract 11 from both sides of the equation:
[tex]\[
3x + 11 - 11 = k - 11
\][/tex]
Simplifying this, we get:
[tex]\[
3x = k - 11
\][/tex]
3. Solve for [tex]\(x\)[/tex]. To isolate [tex]\(x\)[/tex], we need to divide both sides of the equation by 3:
[tex]\[
\frac{3x}{3} = \frac{k - 11}{3}
\][/tex]
Simplifying this, we get:
[tex]\[
x = \frac{k - 11}{3}
\][/tex]
So the solution to the equation [tex]\(3x + 11 = k\)[/tex] is:
[tex]\[
\boxed{x = \frac{k - 11}{3}}
\][/tex]
This corresponds to option A.
