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.

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