1/3 + x = 5/6

To solve the equation \( \frac{1}{3} + x = \frac{5}{6} \), follow these steps:

1. Subtract \( \frac{1}{3} \) from both sides to isolate \( x \): \[ x = \frac{5}{6} - \frac{1}{3} \]

2. To perform the subtraction, we need a common denominator. The least common denominator of 6 and 3 is 6.

3. Convert \( \frac{1}{3} \) to have the common denominator: \[ \frac{1}{3} = \frac{2}{6} \]

4. Now substitute this back into the equation: \[ x = \frac{5}{6} - \frac{2}{6} \]

5. Perform the subtraction: \[ x = \frac{5 - 2}{6} = \frac{3}{6} \]

6. Simplify \( \frac{3}{6} \): \[ x = \frac{1}{2} \]

So, the solution is \( x = \frac{1}{2} \).