Solve for x.

1/3(6x−9)=−33
(1 point)
Responses

x = -30
x = -30

x = -15
x = -15

x = -22
x = -22

x = -19
x = -19

1 answer

To solve the equation 1/3(6x−9)=−33, we first distribute the 1/3 to the terms inside the parentheses:

(1/3)(6x−9) = -33
= (1/3)*6x - (1/3)*9 = -33
= 2x - 3 = -33

Next, we add 3 to both sides of the equation to isolate the variable:

2x - 3 + 3 = -33 + 3
2x = -30

Finally, we divide both sides of the equation by 2 to solve for x:

2x/2 = -30/2
x = -15

Therefore, the solution to the equation is x = -15.