Solve 2/3(x −6)=14

Question

(1 point)
Responses

−27
negative 27

27
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. Divide both sides by 2: \[ x - 6 = 21 \]

3. Add 6 to both sides: \[ x = 21 + 6 \] \[ x = 27 \]

The solution is \( x = 27 \).

Therefore, the answer is 27.