SOLUTION: please show me how to solve a problem similiar to the following so I can solve this one. 1 x 10 ___ + 7 = ___ I know the answer

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: please show me how to solve a problem similiar to the following so I can solve this one. 1 x 10 ___ + 7 = ___ I know the answer       Log On


   

Question 23696: please show me how to solve a problem similiar to the following so I can solve this one.
1 x 10
___ + 7 = ___ I know the answer is ___
x-3 x-3 3
I'm sure this looks simple, but I'm loosing a step somewhere leaving me with an answer unable to show how I got there!
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
%28%281%29%2F%28x-3%29%29+%2B+7+=+%28%28x%29%2F%28x-3%29%29

First, get rid of the fractions by multiplying every term by the LCD --> namely x-3. This then gives:

1+%2B+7%28x-3%29+=+x which looks so much simpler.
1+%2B+7x+-+21+=+x
7x+-+20+=+x
6x+-+20+=+0
6x+=+20
x+=+20%2F6
x+=+10%2F3

jon.