1/2+x=3/5

To solve the equation \( \frac{1}{2} + x = \frac{3}{5} \), follow these steps:

1. Subtract \( \frac{1}{2} \) from both sides of the equation:

   \[ x = \frac{3}{5} - \frac{1}{2} \]

2. To perform the subtraction, you need a common denominator. The least common multiple of 5 and 2 is 10. Convert both fractions:

   \[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]

   \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \]

3. Now, you can subtract:

   \[ x = \frac{6}{10} - \frac{5}{10} = \frac{1}{10} \]

So, the solution is:

\[ x = \frac{1}{10} \]