Solve the following linear equation.

Question

6(x-1)=5
(Note: if the answer is an infinite repeating decimal your answer must be in fraction form. So 0.333... = 1/3)

Answer 1

To solve the equation \( 6(x - 1) = 5 \), follow these steps:

1. Distribute the 6 on the left side: \[ 6x - 6 = 5 \]

2. Add 6 to both sides of the equation: \[ 6x - 6 + 6 = 5 + 6 \] \[ 6x = 11 \]

3. Divide both sides by 6: \[ x = \frac{11}{6} \]

Thus, the solution to the equation \( 6(x - 1) = 5 \) is \[ \boxed{\frac{11}{6}}. \]