Solve for x in the following equation: 1/x+4=2

Question

Write your answer in reduced fraction form, if applicable

x = __

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

Thus, the solution for \( x \) is: \[ x = -\frac{1}{2} \]