Let's solve the equation:

\[
10 = -28 + \frac{x}{2}
\]

### Step 1: Isolate the term with \( x \)
Add \( 28 \) to both sides:

\[
10 + 28 = \frac{x}{2}
\]

\[
38 = \frac{x}{2}
\]

### Step 2: Solve for \( x \)
Multiply both sides by 2 to get rid of the denominator:

\[
38 \times 2 = x
\]

\[
x = 76
\]

Thus, the solution is \( x = 76 \).

Would you like more details or have any questions?

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Here are 5 related questions to expand on this:

1. What happens if we subtract instead of add in equations like this?
2. How do we handle equations with multiple variables?
3. Can you solve an equation where \( x \) appears on both sides?
4. What changes if the denominator isn't a constant but a variable?
5. How do we solve quadratic equations?

**Tip:** Always perform the same operation on both sides of the equation to keep it balanced.

Learn how to solve the linear equation 10 = -28 + x/2 with a step-by-step solution. This problem focuses on key algebraic concepts, including isolating variables and using properties of equality. Suitable for students in Grades 6-8.

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