Question
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Solve for \( x \) : \( \frac{1}{5} x+\frac{1}{2}=1 \) You can enter your answer as an improper fraction (like 13/4), but not as a mixed number.

Ask by Cox Brooks. in the United States
Mar 16,2025

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Tutor-Verified Answer

Answer

\( x = \frac{5}{2} \)

Solution

1. Start with the equation: \[ \frac{1}{5}x + \frac{1}{2} = 1 \] 2. Subtract \(\frac{1}{2}\) from both sides to isolate the term with \(x\): \[ \frac{1}{5}x = 1 - \frac{1}{2} \] 3. Simplify the right-hand side: \[ 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2} \] So, the equation becomes: \[ \frac{1}{5}x = \frac{1}{2} \] 4. Multiply both sides by 5 to solve for \(x\): \[ x = \frac{1}{2} \times 5 = \frac{5}{2} \] The solution is: \[ \frac{5}{2} \]

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To solve for \( x \) in the equation \( \frac{1}{5} x + \frac{1}{2} = 1 \), start by isolating \( x \). First, subtract \( \frac{1}{2} \) from both sides: \[ \frac{1}{5} x = 1 - \frac{1}{2} \] Now, \( 1 - \frac{1}{2} \) equals \( \frac{1}{2} \), so we have: \[ \frac{1}{5} x = \frac{1}{2} \] Next, multiply both sides by 5 to eliminate the fraction: \[ x = 5 \times \frac{1}{2} \] This simplifies to: \[ x = \frac{5}{2} \] Thus, the solution is \( x = \frac{5}{2} \).

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