To solve the equation \(-5 + \frac{x}{3} = -2\), we will follow these steps:

### Step 1: Eliminate the constant term on the left-hand side
Add \(5\) to both sides to isolate the term involving \(x\):
\[
-5 + \frac{x}{3} + 5 = -2 + 5
\]
\[
\frac{x}{3} = 3
\]

### Step 2: Solve for \(x\)
Multiply both sides of the equation by 3 to solve for \(x\):
\[
x = 3 \times 3
\]
\[
x = 9
\]

Thus, the solution is \(x = 9\).

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

Here are 5 related questions for practice:
1. Solve \(-3 + \frac{x}{2} = 5\).
2. Solve \(-7 + \frac{x}{4} = -1\).
3. Solve \(\frac{x}{5} - 2 = 4\).
4. Solve \(\frac{2x}{3} + 1 = 7\).
5. Solve \(-4 + \frac{x}{6} = 0\).

**Tip:** When solving linear equations, your first goal is to isolate the variable term on one side of the equation.

Learn how to solve the linear equation -5 + x/3 = -2 with a detailed step-by-step solution. This problem covers key algebraic concepts, including isolating variables and solving for x. Suitable for students in Grades 6-8.

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