Solve the equation. *

Question

1/3(x —2)=1

O x=3

O x=7

O x=5

© x=2/3

Answer 1

To solve the equation \( \frac{1}{3}(x - 2) = 1 \), follow these steps:

1. Eliminate the fraction by multiplying both sides by 3: \[ 3 \cdot \frac{1}{3}(x - 2) = 3 \cdot 1 \] This simplifies to: \[ x - 2 = 3 \]

2. Add 2 to both sides: \[ x - 2 + 2 = 3 + 2 \] This simplifies to: \[ x = 5 \]

So, the solution is \( x = 5 \).

To match it with the options provided, the answer is:

• \( \text{O } x = 5 \)