Question

solving equation: \\(\frac{k - 2}{2} = 5\\)

Explanation:

Step1: Multiply both sides by 2

To eliminate the denominator, we multiply both sides of the equation \(\frac{k - 2}{2}=5\) by 2. This gives us \(2\times\frac{k - 2}{2}=5\times2\), which simplifies to \(k - 2 = 10\).

Step2: Add 2 to both sides

To solve for \(k\), we add 2 to both sides of the equation \(k - 2 = 10\). So, \(k-2 + 2=10 + 2\), which simplifies to \(k = 12\).

Answer:

\(k = 12\)