SOLUTION: 1. four times the sum of -2 and a number yields the difference between 10 and 5 times the number is?

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Question 987627: 1. four times the sum of -2 and a number yields the difference between 10 and 5 times the number is?
Found 2 solutions by vleith, Edwin McCravy:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be X
4%2A%28X-2%29+=+%2810-5%29X
4X+-8+=+5X
-8+=+x

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
The other tutor interpreted "the difference between 10 and 5" as 
simply 10-5. I'm quite sure that's not the way you were supposed 
to interpret it.  So I'm quite sure -8 is NOT the correct solution.
Here is the correct way to interpret it:

four times the sum of -2 and a number yields the difference between 10 and 5 times the number.
Change "a number" and "the number to N:

four times the sum of -2 and N yields the difference between 10 and 5 times N.
Change "the sum of -2 and N" to (-2+N)

four times (-2+N) yields the difference between 10 and 5 times N.
Change "5 times N" to 5N

four times (-2+N) yields the difference between 10 and 5N.
Change "four times (-2+N)" to 4(-2+N)

4(-2+N) yields the difference between 10 and 5N.
Change "the difference between 10 and 5N" to 10-5N

4(-2+N) yields 10-5N
Change "yields" to an equal sign

4(-2+N) = 10-5N
Now you can finish by yourself.

Edwin