Solve 2/3(x-6)=14

1 answer

To solve the equation 2/3(x-6) = 14, let's first distribute the 2/3 to the terms inside the parentheses:

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

Now, simplify the expression:

2/3 * x - 4 = 14

Add 4 to both sides of the equation:

2/3 * x = 18

To solve for x, multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(2/3 * x) * (3/2) = 18 * (3/2)
x = 54/2
x = 27

Therefore, the solution to the equation 2/3(x-6) = 14 is x = 27.