Question

Solve 2/3(x −6)=14
(1 point)
Responses

27
27

15
15

−15
negative 15

−27

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

2. Next, divide both sides by 2:
\[
x - 6 = 21
\]

3. Now, add 6 to both sides:
\[
x = 21 + 6
\]
\[
x = 27
\]

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

The answer is **27**.