Solve 2/3(x −6)=14 (1 point)

Question

Responses

27
27

−27
negative 27

−15
negative 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. Now, divide both sides by 2:

   \[ x - 6 = 21 \]

3. Add 6 to both sides to solve for \( x \):

   \[ x = 21 + 6 = 27 \]

So the solution is \( x = 27 \).

The correct response is: 27