Solve 2/3 (x − 6) =14 (1 point)

Question

Responses

−15
negative 15

−27
negative 27

27
27

15

Answer 1

To solve this equation, we can start by distributing the 2/3 to terms inside the parentheses:

2/3 (x − 6) = 14

2/3 * x - 2/3 * 6 = 14

2/3 * x - 4 = 14

Next, we can add 4 to both sides to isolate the term with x:

2/3 * x - 4 + 4 = 14 + 4

2/3 * x = 18

Now, we can multiply both sides by 3/2 to solve for x:

x = 18 * 3/2

x = 54/2

x = 27

Therefore, the value of x that satisfies the equation is 27.