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

[tex]\[
\frac{x}{2} = -7
\][/tex]

A. [tex]\( x = -14 \)[/tex]
B. [tex]\( x = -\frac{7}{2} \)[/tex]
C. [tex]\( x = -\frac{2}{7} \)[/tex]


Sagot :

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].