Solve 2/3(x −6)=14

Question

(1 point)
Responses

15
15

27
27

−27
negative 27

−15
negative 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:

\[ x = 21 + 6 \]

\[ x = 27 \]

The solution is \( x = 27 \).

So the correct response is:

27