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We are given the equation:

\[
\frac{x}{5} = \frac{7}{-5}
\]

To solve for \(x\), we can cross-multiply to eliminate the denominators. This gives us:

\[
x \cdot (-5) = 5 \cdot 7
\]

Simplifying both sides:

\[
-5x = 35
\]

Now, divide both sides by \(-5\):

\[
x = \frac{35}{-5} = -7
\]

Thus, the value of \(x\) is \(-7\).

The correct answer is **a. -7**.

Do you need further clarification or details on this solution?

Here are 5 related questions you can explore:
1. What is the general process for solving equations involving fractions?
2. How do you cross-multiply to solve proportional equations?
3. What are some other methods to solve linear equations?
4. What is the importance of checking your solution after solving an equation?
5. How can you graphically represent the solution to this equation?

**Tip:** Always double-check your work when solving equations by substituting your solution back into the original equation to verify that it satisfies the equation.

If \( \frac{x}{5} = \frac{7}{-5} \), what is the value of x?

Learn how to solve a linear equation involving fractions. This problem involves finding the value of x in the equation \( \frac{x}{5} = \frac{7}{-5} \) through cross multiplication and simplification. Ideal for students in Grades 7-9.

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