Solve 2/3(x -6) = 14

Answer 1

To solve the equation, we need to isolate the variable x.

2/3(x - 6) = 14

To remove the fraction, let's multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, or simply 1.5.

1.5 * 2/3(x - 6) = 1.5 * 14

Multiplying:

1.5 * 2/3(x - 6) = 21

1.5(x - 6) = 21

Distribute 1.5:

1.5x - 9 = 21

Add 9 to both sides:

1.5x - 9 + 9 = 21 + 9

1.5x = 30

Divide both sides by 1.5:

(1.5x)/1.5 = 30/1.5

x ≈ 20

Therefore, the solution to the equation is x ≈ 20.

Answer 2

The options are:
A. -15
B. 27
C. -27
D. 15

Answer 3

To solve the equation 2/3(x - 6) = 14, we need to isolate the variable x.

First, let's multiply both sides of the equation by 3/2 to remove the fraction:

(3/2)(2/3)(x - 6) = (3/2)(14)

Simplifying:

(x - 6) = 21

Next, add 6 to both sides to isolate x:

(x - 6) + 6 = 21 + 6

x = 27

Therefore, the solution to the equation is x = 27.

The correct option is B. 27.