Question
Solve the equation symbolically \( 4 x-4=16 \)
Ask by Gross Spencer. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
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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Extra Insights
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!