Question

Solve 2/3(x −6)=14 (1 point)
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 \( \boxed{27} \).