Question

find the value of x.
remember to check your answer!
\\(\frac{x}{2} = 5\\)
\\(x = ?\\)

Explanation:

Step1: Multiply both sides by 2

To solve for \( x \) in the equation \( \frac{x}{2} = 5 \), we multiply both sides of the equation by 2. This is done to isolate \( x \) on one side. The operation is:
\( \frac{x}{2} \times 2 = 5 \times 2 \)

Step2: Simplify both sides

Simplifying the left side, the 2 in the numerator and denominator cancels out, leaving \( x \). On the right side, \( 5 \times 2 = 10 \). So we get:
\( x = 10 \)

Step3: Check the answer

Substitute \( x = 10 \) back into the original equation \( \frac{x}{2} \). We have \( \frac{10}{2} = 5 \), which matches the right side of the original equation. So the solution is correct.

Answer:

\( x = 10 \)