SOLUTION: I'm trying to solve this problem: 1/3(3x-9) = -4(x-3)

Algebra ->  Test -> SOLUTION: I'm trying to solve this problem: 1/3(3x-9) = -4(x-3)      Log On


   



Question 352262: I'm trying to solve this problem:
1/3(3x-9) = -4(x-3)

Found 3 solutions by jim_thompson5910, Fombitz, sofiyac:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29%283x-9%29+=+-4%28x-3%29 Start with the given equation.


3x-9+=+3%28-4%29%28x-3%29 Multiply both sides by 3.


3x-9+=+-12%28x-3%29 Multiply 3 and -4 to get -12.


3x-9=-12x%2B36 Distribute.


3x=-12x%2B36%2B9 Add 9 to both sides.


3x%2B12x=36%2B9 Add 12x to both sides.


15x=36%2B9 Combine like terms on the left side.


15x=45 Combine like terms on the right side.


x=%2845%29%2F%2815%29 Divide both sides by 15 to isolate x.


x=3 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x=3

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29%283x-9%29+=+-4%28x-3%29
Multiply both sides by 3.
3x-9=-12%28x-3%29
3x-9=-12x%2B36
Now solve for x.

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29%283x-9%29+=+-4%28x-3%29 distribute the 1/3 and -4 you get
x-3+=+-4x%2B12 add 3 to each side and you get
x+=+-4x%2B15 add 4x to each side and you get
5x+=+15 divide each side by 5 and you get
x=3