Solve 2/3(x −6)=14(1 point)

Question

Responses

27
27

−27
negative 27

15
15

−15

Answer 1

To solve the equation 2/3(x −6)=14, we need to isolate x.
First, we can multiply both sides of the equation by 3 to eliminate the fraction:
(2/3)(3)(x −6)=14(3)
2(x −6)=42
Next, simplify the equation:
2x - 12 = 42
To isolate x, we can add 12 to both sides of the equation:
2x - 12 + 12 = 42 + 12
2x = 54
Finally, divide both sides by 2 to solve for x:
2x/2 = 54/2
x = 27
So the solution to the equation is x = 27.