SOLUTION: -1/9(x-27)+1/3(x+3)=x+11

Algebra ->  Equations -> SOLUTION: -1/9(x-27)+1/3(x+3)=x+11      Log On


   

Question 178267: -1/9(x-27)+1/3(x+3)=x+11
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
%28-1%2F9%29%28x-27%29%2B%281%2F3%29%28x%2B3%29=x%2B11
The first step is to distribute through the -1/9 and 1/3 on the left hand side:
%28-1%2F9%29x%2B%28-1%2F9%29%28-27%29%2B%281%2F3%29x%2B%281%2F3%29%283%29=x%2B11
%28-1%2F9%29x%2B3%2B%281%2F3%29x%2B1=x%2B11
Now, we will combine like terms on the left hand side: Notice that to combine the (-1/9)x and (1/3)x we have to transform 1/3 into 3/9 so that we have a common denominator. So,
%28-1%2F9%29x%2B%283%2F9%29x%2B4=x%2B11
%282%2F9%29x%2B4=x%2B11
Now, subtract 4 from both sides:
%282%2F9%29x=x%2B7
Subtract x from both sides (remember that x is the same as (9/9)x)
%28-7%2F9%29x=7
Last, divide both sides by -7/9, which is the same as multiplying by -9/7. So
x=7%28-9%2F7%29=-9
Thus, we have that x=-9.