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

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Question 178267: -1/9(x-27)+1/3(x+3)=x+11
Answer by EMStelley(208)   (Show Source): You can put this solution on YOUR website!

The first step is to distribute through the -1/9 and 1/3 on the left hand side:


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,


Now, subtract 4 from both sides:

Subtract x from both sides (remember that x is the same as (9/9)x)

Last, divide both sides by -7/9, which is the same as multiplying by -9/7. So

Thus, we have that x=-9.

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