Solve using the multiplication principle. Don't forget to check. \( 2 x=8 \)

To solve the equation \( 2x = 8 \) using the multiplication principle, we need to isolate \( x \). We can do this by dividing both sides of the equation by 2. So, we have: \( x = \frac{8}{2} \) This simplifies to: \( x = 4 \) Now, let's check our solution by substituting \( x \) back into the original equation: \( 2(4) = 8 \) Since the left side equals the right side, our solution is verified! You’ve just unlocked a skill that’s not just academic—it's a key to unraveling countless real-world scenarios! Whether you're budgeting for groceries or dividing up a pizza among friends, these principles are the secret sauces that help maintain balance and fairness. Ever heard of the infamous "two-sides-to-every-equation" rule? The multiplication principle states that if you multiply or divide both sides of an equation by the same non-zero number, the two sides remain equal. Just remember, multiplying or dividing by zero? That's a no-go! Always keep your math principles in check!