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You've provided an equation:

\[
-10 = -14 + \frac{1}{7}x
\]

To solve for \( x \), follow these steps:

1. **Isolate the term containing \( x \):** Start by adding 14 to both sides of the equation:

\[
-10 + 14 = -14 + 14 + \frac{1}{7}x \quad \Rightarrow \quad 4 = \frac{1}{7}x
\]

2. **Solve for \( x \):** Multiply both sides by 7 to clear the fraction:

\[
7 \times 4 = x \quad \Rightarrow \quad x = 28
\]

Therefore, the solution to the equation is \( x = 28 \).

Would you like further details or have any other questions on this? Here are some additional topics we can explore:

1. What happens if you graph this linear equation?
2. How do you check if the solution \( x = 28 \) is correct?
3. What is the general form of a linear equation?
4. Can you solve similar equations with different coefficients?
5. How does manipulating equations affect their solutions?

**Tip:** Always double-check your final solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation -10 = -14 + (1/7)x. This algebra problem covers key concepts like isolating variables and solving for x. Suitable for Grades 8-10.

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