To solve for [tex]\( x \)[/tex] in the given equation [tex]\(\frac{x}{2} = 17\)[/tex], we need to isolate [tex]\( x \)[/tex]. Here’s a detailed, step-by-step solution:
1. Start with the given equation:
[tex]\[
\frac{x}{2} = 17
\][/tex]
2. To isolate [tex]\( x \)[/tex], multiply both sides of the equation by 2. This is because multiplying by 2 will cancel out the division by 2 on the left side of the equation:
[tex]\[
2 \cdot \frac{x}{2} = 17 \cdot 2
\][/tex]
3. Simplify both sides:
[tex]\[
x = 34
\][/tex]
Therefore, the solution to the equation [tex]\(\frac{x}{2} = 17\)[/tex] is [tex]\( x = 34 \)[/tex].
The correct answer is:
B. [tex]\( x = 34 \)[/tex]
