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.

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: \[ \frac{5}{2} \]