Question 2 (1 point)

Solve for [tex]\( x \)[/tex]:

[tex]\[ \frac{x}{2} + 4 = -2 \][/tex]

A. [tex]\(-12\)[/tex]

B. [tex]\(-5\)[/tex]

C. [tex]\( -17 \)[/tex]

D. [tex]\(11\)[/tex]



Answer :

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].