Solve x/−6−7=−11  for x .     Solution First we need to add   to both sides.  x/−6=    Next, we will multiply both sides by the denominator,  , to isolate the variable.  (−6)x/−6=−4(−6)  Simplify.  x=    Check your answer (View answer)

Let's solve the equation step by step.

Given equation:
\[
\frac{x}{-6} - 7 = -11
\]

### Step 1: Add 7 to both sides
\[
\frac{x}{-6} - 7 + 7 = -11 + 7
\]
This simplifies to:
\[
\frac{x}{-6} = -4
\]

### Step 2: Multiply both sides by -6 to isolate \(x\)
\[
(-6) \times \frac{x}{-6} = (-4) \times (-6)
\]
This simplifies to:
\[
x = 24
\]

### Step 3: Check the solution
Substitute \(x = 24\) back into the original equation:
\[
\frac{24}{-6} - 7 = -11
\]
\[
-4 - 7 = -11
\]
This is true, so \(x = 24\) is the correct solution.

### Final Answer:
\[
x = 24
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the solution change if the equation was \( \frac{x}{6} - 7 = -11 \)?
2. What happens when you add or subtract negative numbers?
3. Can you explain how multiplying by a negative number affects the result?
4. What does isolating the variable mean in solving equations?
5. How can you check if your solution is correct in any equation?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the linear equation x/−6−7=−11 for x with a detailed, step-by-step explanation. This problem involves key algebraic concepts like isolating the variable and applying basic operations. Ideal for students in Grades 6-8.

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