To solve the equation \( 5 \times 2 = 2x - 4 \):

### Step-by-step solution:
1. Simplify the left-hand side:
   \[
   5 \times 2 = 10
   \]
   So the equation becomes:
   \[
   10 = 2x - 4
   \]

2. Add 4 to both sides to isolate the term with \( x \):
   \[
   10 + 4 = 2x
   \]
   \[
   14 = 2x
   \]

3. Divide both sides by 2 to solve for \( x \):
   \[
   x = \frac{14}{2} = 7
   \]

### Final answer:
\[
x = 7
\]

Would you like more details on any step or further clarification?

Here are 5 related questions to explore further:
1. How would the solution change if the equation was \( 5x + 2 = 2x - 4 \)?
2. What happens if you multiply both sides of \( 5 \times 2 = 2x - 4 \) by 3?
3. How do you solve \( 5 \times 2 + x = 2x - 4 \)?
4. How do you solve \( 5 \times 2 = 3x - 5 \)?
5. Can you solve \( 2x - 4 = 14 \) in a different way?

**Tip:** When solving linear equations, always aim to isolate the variable on one side by performing inverse operations (addition, subtraction, multiplication, division).

Explore how to solve the linear equation 5x2 = 2x − 4 with a detailed step-by-step guide. This problem covers fundamental algebraic concepts and the process of isolating the variable to find the solution. Suitable for students in Grades 6-8.

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