https://r2.erweima.ai/mathbot/image/1725646219104fhowaefq.jpg

It seems the text extraction did not work as expected. However, from the image preview, I can see part of the equation. It looks like the equation is:

\[
\frac{3}{5}x - 8 = x - \frac{7}{5}
\]

Let's solve this step-by-step:

### Step 1: Isolate the variable \( x \)
First, subtract \( x \) from both sides to get:

\[
\frac{3}{5}x - 8 - x = - \frac{7}{5}
\]

Combine like terms for \( x \):

\[
\frac{3}{5}x - \frac{5}{5}x = -\frac{7}{5} + 8
\]

This simplifies to:

\[
\frac{-2}{5}x = \frac{33}{5}
\]

### Step 2: Solve for \( x \)
Now, solve for \( x \) by multiplying both sides by \( -\frac{5}{2} \):

\[
x = \frac{33}{5} \times -\frac{5}{2} = -\frac{33}{2}
\]

Thus, \( x = -\frac{33}{2} \).

Would you like further details, or do you have any questions?

Here are some related questions you might consider:
1. How can we verify the solution of a linear equation?
2. How do we handle equations with fractions on both sides?
3. What are the steps to combine like terms when solving equations?
4. How do we isolate the variable when it's present on both sides of the equation?
5. What are common errors when working with equations involving fractions?

**Tip**: Always check your solution by substituting the value of \( x \) back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation with fractions: \( \frac{3}{5}x - 8 = x - \frac{7}{5} \). This step-by-step solution covers key algebraic concepts like solving linear equations, combining like terms, and working with fractions. Suitable for students in Grades 8-10.

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