Question

1. \\(\frac{x - 1}{6} = 2\\)

Explanation:

Step1: Multiply both sides by 6

To eliminate the denominator, multiply each side of the equation \(\frac{x - 1}{6}=2\) by 6. This gives \(6\times\frac{x - 1}{6}=2\times6\). Simplifying the left side (the 6s cancel out) and the right side, we get \(x - 1 = 12\).

Step2: Add 1 to both sides

To solve for \(x\), add 1 to both sides of the equation \(x - 1 = 12\). So, \(x - 1+1 = 12 + 1\), which simplifies to \(x = 13\).

Answer:

\(x = 13\)