Solve 2/3 ( x -6 ) = 14

Question

27

-27

-15

15

Answer 1

To solve the equation \( \frac{2}{3} (x - 6) = 14 \), follow these steps:

1. Multiply both sides by 3 to eliminate the fraction:

   \[ 2(x - 6) = 42 \]

2. Divide both sides by 2:

   \[ x - 6 = 21 \]

3. Add 6 to both sides:

   \[ x = 21 + 6 \]

   \[ x = 27 \]

Thus, the solution is \( x = 27 \).