Solve for x in the following equation: 1/(x + 4) = 2 Write your answer in reduced fraction form, if applicable. x =

Answer 1

To solve the equation \( \frac{1}{x + 4} = 2 \), we will start by isolating \( x \).

First, take the reciprocal of both sides:

\[ x + 4 = \frac{1}{2} \]

Next, subtract \( 4 \) from both sides to solve for \( x \):

\[ x = \frac{1}{2} - 4 \]

Now, to compute \( 4 \) as a fraction with a denominator of \( 2 \), we rewrite it:

\[ 4 = \frac{8}{2} \]

Thus, we can subtract:

\[ x = \frac{1}{2} - \frac{8}{2} = \frac{1 - 8}{2} = \frac{-7}{2} \]

So the solution for \( x \) is:

\[ \boxed{-\frac{7}{2}} \]