Solve 2/3(x −6)=14(1 point)

Question

A. 15

B. −27

C. −15

D. 27

Answer 1

To solve the equation \(\frac{2}{3}(x - 6) = 14\), we can 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: \[ x = 21 + 6 \] \[ x = 27 \]

Thus, the solution is: \[ \boxed{27} \]

So the correct answer is D. 27.