Solve 2/3(x −6)=14 (1 point)

Question

Responses

15
15

−27
negative 27

27
27

−15

Answer 1

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

1. Multiply both sides of the equation by 3 to eliminate the fraction: \[ 3 \cdot \frac{2}{3}(x - 6) = 3 \cdot 14 \]

   This simplifies to: \[ 2(x - 6) = 42 \]

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

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

So, the solution is \( \boxed{27} \).