Solve for [tex][tex]$x$[/tex][/tex] in the equation [tex]$\frac{x}{2} = 17$[/tex].

A. [tex]$x = 8.5$[/tex]
B. [tex][tex]$x = 34$[/tex][/tex]
C. [tex]$x = 19$[/tex]
D. [tex]$x = 15$[/tex]



Answer :

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]