To solve the equation \( x - \frac{6}{5} = -5 \) for \( x \), follow these steps:

1. **Add \(\frac{6}{5}\) to both sides** of the equation to isolate \( x \):

\[
x = -5 + \frac{6}{5}
\]

2. **Convert \(-5\) to a fraction** with a denominator of 5:

\[
-5 = \frac{-25}{5}
\]

So the equation becomes:

\[
x = \frac{-25}{5} + \frac{6}{5}
\]

3. **Combine the fractions**:

\[
x = \frac{-25 + 6}{5} = \frac{-19}{5}
\]

Thus, the solution is:

\[
x = \frac{-19}{5}
\]

or approximately \( x = -3.8 \).

Would you like more details, or do you have any other questions?

Here are 5 related questions for further practice:
1. Solve the equation \( x + \frac{7}{4} = 3 \).
2. Solve for \( x \) in the equation \( 2x - \frac{9}{3} = 4 \).
3. What is the value of \( x \) if \( \frac{2x}{5} + \frac{3}{2} = \frac{7}{10} \)?
4. Solve \( x - 4.5 = -3.7 \).
5. Find the value of \( x \) in \( \frac{3}{4}x - 2 = 1 \).

**Tip:** Always ensure fractions have a common denominator before adding or subtracting them.

Learn how to solve the equation x - 6/5 = -5 with a detailed step-by-step solution. This problem involves adding fractions and solving linear equations. Suitable for students in Grades 6-8.

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