Question

solve for x.
$x + \frac{5}{12} = -\frac{1}{12}$
$x = $

Explanation:

Step1: Subtract $\frac{5}{12}$ from both sides

To isolate \( x \), we subtract \(\frac{5}{12}\) from both sides of the equation \( x + \frac{5}{12} = -\frac{1}{12} \). This gives us \( x = -\frac{1}{12} - \frac{5}{12} \).

Step2: Combine the fractions

Since the denominators are the same, we can combine the numerators. So, \( -\frac{1}{12} - \frac{5}{12} = \frac{-1 - 5}{12} = \frac{-6}{12} \).

Step3: Simplify the fraction

Simplify \(\frac{-6}{12}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 6. So, \(\frac{-6 \div 6}{12 \div 6} = -\frac{1}{2}\).

Answer:

\( -\frac{1}{2} \)