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The given function is \( f(x) = 4x + 6 \), and we are asked to find the value of \( x \) when \( f(x) = -10 \).

Let's solve for \( x \) step by step:

1. Start with the function:
   \[
   f(x) = 4x + 6
   \]

2. Set \( f(x) = -10 \):
   \[
   4x + 6 = -10
   \]

3. Subtract 6 from both sides:
   \[
   4x = -10 - 6
   \]
   \[
   4x = -16
   \]

4. Divide both sides by 4:
   \[
   x = \frac{-16}{4} = -4
   \]

Thus, the value of \( x \) is \( -4 \).

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How would the solution change if \( f(x) = 2x + 3 \)?
2. What is the value of \( f(x) \) when \( x = 2 \) in the original equation?
3. How can you verify the solution by plugging the value of \( x \) back into the equation?
4. What happens to the equation if the constant term is negative instead of positive?
5. How do you solve for \( x \) if \( f(x) \) is a quadratic function, such as \( f(x) = x^2 + 4x + 6 \)?

**Tip:** When solving linear equations, always perform inverse operations (like subtracting and dividing) step by step to isolate the variable.

For the function f(x) = 4x + 6, find the matching value for x when f(x) = -10.

Learn how to solve for x in the linear function f(x) = 4x + 6 when f(x) = -10. This step-by-step solution covers key algebraic concepts for students in Grades 6-8.

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