solve for x in the following equation 1/x+4 =2 write your answer in reduced fraction form if applicable

Answer 1

To solve the equation \( \frac{1}{x} + 4 = 2 \), we can follow these steps:

1. Subtract 4 from both sides: \[ \frac{1}{x} = 2 - 4 \] \[ \frac{1}{x} = -2 \]

2. Now, take the reciprocal of both sides: \[ x = \frac{1}{-2} \]

3. This gives us: \[ x = -\frac{1}{2} \]

Thus, the solution for \( x \) in reduced fraction form is: \[ \boxed{-\frac{1}{2}} \]