You have the function \( k(x) = 6x - 12 \) and want to find the value of \( x \) when \( k(x) = 18 \).

Let's solve the equation:

\[
k(x) = 6x - 12
\]

Set \( k(x) = 18 \) and solve for \( x \):

\[
18 = 6x - 12
\]

Add 12 to both sides:

\[
18 + 12 = 6x
\]

\[
30 = 6x
\]

Now, divide both sides by 6:

\[
x = \frac{30}{6} = 5
\]

So, \( x = 5 \).

Would you like further details or have any questions?

Here are 5 related questions you might consider:
1. What is \( k(x) \) when \( x = 0 \)?
2. How does the function \( k(x) = 6x - 12 \) behave as \( x \) increases?
3. What is the slope of the line represented by \( k(x) = 6x - 12 \)?
4. What is the y-intercept of the function \( k(x) = 6x - 12 \)?
5. How would you find \( x \) if \( k(x) = 0 \)?

**Tip:** When solving linear equations, isolate the variable by performing inverse operations step by step.

Learn how to solve the linear equation 6x - 12 = 18 with a step-by-step solution. This problem covers key algebraic concepts, including linear equations and their solutions. Suitable for students in Grades 6-8.

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