https://file.aiquickdraw.com/mathbot/file/1725856416637axsbqrgn.jpg

The equation in the image is:

\[
\frac{-4}{5}x + 7 = -13
\]

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

### Step 1: Isolate the term with \(x\)
Subtract 7 from both sides:

\[
\frac{-4}{5}x + 7 - 7 = -13 - 7
\]

\[
\frac{-4}{5}x = -20
\]

### Step 2: Solve for \(x\)
To eliminate the fraction, multiply both sides by \(\frac{5}{-4}\):

\[
x = -20 \times \frac{5}{-4}
\]

\[
x = -20 \times -\frac{5}{4}
\]

\[
x = 100/4
\]

\[
x = 25
\]

### Solution
The value of \(x\) is **25**.

Would you like more details or have any questions about this solution? Here are five related questions to explore further:

1. How do we solve equations with fractions?
2. What are some tips for isolating variables in equations?
3. How do we verify the solution to an equation?
4. What are the properties of equality used in solving equations?
5. Can equations always be solved algebraically?

**Tip:** When dealing with fractions in equations, multiplying both sides by the reciprocal can simplify the process.

This problem teaches how to solve a linear equation involving fractions. Follow the detailed steps to isolate the variable x and simplify the equation. Ideal for students in Grades 8-10.

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