Let's solve the equation step by step:

The equation is:

\[
\frac{x}{-3} - 10 = -4
\]

### Step 1: Add 10 to both sides to isolate the fraction.
\[
\frac{x}{-3} = -4 + 10
\]
\[
\frac{x}{-3} = 6
\]

### Step 2: Multiply both sides by -3 to solve for \( x \).
\[
x = 6 \times (-3)
\]
\[
x = -18
\]

So, the solution is:
\[
x = -18
\]

Would you like a detailed explanation of any step? Here are five related questions to expand your understanding:

1. What happens if we divide \( x \) by a positive number instead of a negative one?
2. How do we isolate a variable in more complex fractions?
3. Can you solve equations involving multiple variables?
4. What is the impact of adding/subtracting terms from both sides of an equation?
5. How do we check if our solution is correct?

**Tip:** Always perform the inverse operation to isolate the variable when solving equations!

Master solving linear equations with fractions through this example: x/-3 - 10 = -4. Follow a detailed step-by-step solution, applying key algebraic concepts such as the addition and multiplication properties of equality. Perfect for students in Grades 6-8.

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