SOLUTION: I am a beginner. I am stuck on correct answer for: IF x - two-sevenths(2 over 7)x = 5, then x = I am not using a specific book. I am just practicing..........

Algebra ->  Expressions-with-variables -> SOLUTION: I am a beginner. I am stuck on correct answer for: IF x - two-sevenths(2 over 7)x = 5, then x = I am not using a specific book. I am just practicing..........      Log On


   

Question 39398: I am a beginner.
I am stuck on correct answer for:
IF x - two-sevenths(2 over 7)x = 5, then x =
I am not using a specific book. I am just practicing..........
Found 2 solutions by emsum, josmiceli:
Answer by emsum(1) About Me  (Show Source):
You can put this solution on YOUR website!
x-(2x\7)=5
((7x-2x)\7)=5

division opp. multiplication
so ...

5x=35
x=(35\5)
x=7

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F7%29x+=+5
there are several ways you could have written the left side of
this equation, and their all equal to eachother.
%282x%29%2F7+=+5
2%2A%28x%2F7%29+=+5
%28x%2F7%29%2A2+=+5
%282%2F7%29x+=+5
notice that the 7 stays below the fraction line in each case
and all I'm doing is changing the order of x and 2.
To solve any equation, just do the same thing to both sides
at each step. The "=" sign is the balence point and you're keeping
both sides balenced.
multiply both sides by 7
7%2A%282%2F7%29x+=+7%2A5
you can rewrite the left side as follows
%287%2F7%29%2A2x+=+7%2A5
7/7 = 1 (anything divided by itself is 1.
1*(2x) is the same as 2x
2x+=+7%2A5
multiply out the right side
2x+=+35
divide both sides by 2
%282%2F2%29x+=+35%2F2
2/2 is 1 and 1*x is the same as x.
x+=+35%2F2 is the answer (or 17 1/2 if you like)