Question
3. \( \frac{x}{2}+16=39 \)
Ask by Salinas Lambert. in Kuwait
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=46 \)
Solution
Solve the equation \( \frac{x}{2}+16=39 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\frac{x}{2}+16=39\)
- step1: Move the constant to the right side:
\(\frac{x}{2}=39-16\)
- step2: Subtract the numbers:
\(\frac{x}{2}=23\)
- step3: Cross multiply:
\(x=2\times 23\)
- step4: Simplify the equation:
\(x=46\)
The solution to the equation \( \frac{x}{2}+16=39 \) is \( x=46 \).
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Simplify this solution Extra Insights
To solve for \( x \), you start by isolating the variable. Subtract 16 from both sides of the equation: \( \frac{x}{2} = 39 - 16 \) This simplifies to \( \frac{x}{2} = 23 \). Next, multiply both sides by 2 to eliminate the fraction: \( x = 23 \times 2 \) Therefore, \( x = 46 \). To check your work, substitute \( x \) back into the original equation: \( \frac{46}{2} + 16 = 39 \) simplifies to \( 23 + 16 = 39 \), confirming that your solution is correct!
