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