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 first isolate the term with \( x \).

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

2. Next, we take the reciprocal of both sides to find \( x \): \[ x = \frac{1}{-2} \] \[ x = -\frac{1}{2} \]

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