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3. Solve for x . \[ \frac{1}{2} x=8 \]

Ask by Ryan Marsh. in the United States
Mar 08,2025

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Answer

\( x = 16 \)

Solution

1. Start with the equation: \[ \frac{1}{2} x = 8 \] 2. Multiply both sides by \(2\) to isolate \(x\): \[ 2 \times \frac{1}{2} x = 2 \times 8 \] 3. Simplify both sides: \[ x = 16 \] Thus, the solution is \( x = 16 \).

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The Deep Dive

To solve for x in the equation \( \frac{1}{2} x = 8 \), start by eliminating the fraction. You can do this by multiplying both sides of the equation by 2. So, \( 2 \cdot \frac{1}{2} x = 2 \cdot 8 \), which simplifies to \( x = 16 \). Voilà! x is 16! Now, using this equation in real life, let's say you're splitting a pizza between two people, and each person gets half of a pizza. If you find out that half of the pizza represents 8 slices, you can easily determine that the whole pizza has 16 slices. See? Math helps resolve delicious pizza dilemmas!

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