Let's solve the equation \( 10 = \frac{x - 5}{2} \).

### Step 1: Eliminate the denominator
To get rid of the fraction, multiply both sides of the equation by 2:
\[
2 \times 10 = 2 \times \frac{x - 5}{2}
\]
This simplifies to:
\[
20 = x - 5
\]

### Step 2: Isolate \(x\)
Now, add 5 to both sides to isolate \(x\):
\[
20 + 5 = x
\]
\[
x = 25
\]

So, the solution is:
\[
x = 25
\]

Would you like more details or further clarification on this solution?

Here are 5 related questions for you to consider:
1. How would you solve if the equation was \( 10 = \frac{2x - 5}{2} \)?
2. What would happen if the equation was \( 10 = \frac{x + 5}{2} \)?
3. How do you solve for \(x\) when there's a fraction on both sides of the equation?
4. What are other methods to solve linear equations?
5. How does multiplying both sides by a common denominator simplify an equation?

**Tip**: Always perform the same operation on both sides of an equation to maintain balance and solve it correctly.

Learn how to solve the linear equation 10 = (x - 5) / 2 with a step-by-step explanation. This guide walks through eliminating fractions and isolating variables, perfect for middle school students (Grades 6-8) studying algebra.

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