To solve the equation
[tex]\[
\frac{x}{2} = -7
\][/tex]
we need to isolate the variable [tex]\( x \)[/tex]. Here's a step-by-step solution:
1. Start with the given equation:
[tex]\[
\frac{x}{2} = -7
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to eliminate the fraction. We can do this by multiplying both sides of the equation by 2 (the denominator in the fraction):
[tex]\[
2 \cdot \frac{x}{2} = 2 \cdot (-7)
\][/tex]
3. Simplify both sides:
[tex]\[
x = -14
\][/tex]
So, the solution is [tex]\( x = -14 \)[/tex].
To summarize, the correct answer is:
[tex]\[
x = -14
\][/tex]
Hence, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\(\frac{x}{2} = -7\)[/tex] is [tex]\( x = -14 \)[/tex].
