To solve the equation \(-12 = -7 + \frac{x}{5}\), follow these steps:

### Step 1: Isolate the term with \(x\).
Add \(7\) to both sides of the equation to start isolating the term with \(x\):

\[
-12 + 7 = \frac{x}{5}
\]

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

### Step 2: Eliminate the denominator.
Multiply both sides of the equation by 5 to eliminate the fraction:

\[
-5 \times 5 = x
\]

\[
x = -25
\]

### Final Answer:
\[
x = -25
\]

Would you like further clarification or details on this solution?

### Related Questions:
1. How do you solve linear equations with fractions?
2. What are common mistakes to avoid when isolating variables?
3. Can you explain how to verify the solution of an equation?
4. How do you handle equations with multiple variables?
5. What are different methods to solve linear equations?

### Tip:
Always perform the same operation on both sides of an equation to maintain balance!

Learn how to solve the linear equation -12 = -7 + x/5 using algebraic techniques to isolate the variable and eliminate fractions. Follow this step-by-step solution, ideal for students in Grades 6-8, to understand key concepts in solving linear equations.

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