To solve the equation [tex]\(\frac{x}{2} + 4 = -2\)[/tex], follow these steps:
1. Isolate the fraction involving [tex]\(x\)[/tex]: [tex]\[
\frac{x}{2} + 4 = -2
\][/tex] Subtract 4 from both sides to isolate the term with [tex]\(x\)[/tex]: [tex]\[
\frac{x}{2} = -2 - 4
\][/tex] Simplifying the right side: [tex]\[
\frac{x}{2} = -6
\][/tex]
2. Solve for [tex]\(x\)[/tex]: Multiply both sides of the equation by 2 to solve for [tex]\(x\)[/tex]: [tex]\[
x = -6 \times 2
\][/tex] Simplify: [tex]\[
x = -12
\][/tex]
Therefore, the solution to the equation [tex]\(\frac{x}{2} + 4 = -2\)[/tex] is [tex]\(\boxed{-12}\)[/tex].
The correct answer is option c [tex]\(-12\)[/tex].
