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Solve the equation symbolically \( 4 x-4=16 \)

Ask by Gross Spencer. in the United States
Jan 27,2025

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Answer

\( x = 5 \)

Solution

To solve the equation \( 4x - 4 = 16 \) for \( x \) symbolically, follow these steps: 1. **Start with the original equation:** \[ 4x - 4 = 16 \] 2. **Add 4 to both sides** to isolate the term containing \( x \): \[ 4x - 4 + 4 = 16 + 4 \] Simplifying both sides: \[ 4x = 20 \] 3. **Divide both sides by 4** to solve for \( x \): \[ \frac{4x}{4} = \frac{20}{4} \] Simplifying both sides: \[ x = 5 \] **Solution:** \[ x = 5 \]

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To solve the equation \( 4x - 4 = 16 \), first, add 4 to both sides to isolate the term with \( x \): \( 4x - 4 + 4 = 16 + 4 \) This simplifies to: \( 4x = 20 \) Next, divide both sides by 4: \( x = \frac{20}{4} \) So, \( x = 5 \). Now you've found that the value of \( x \) that satisfies the equation is 5!

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