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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
Let the number be X
Answer by Edwin McCravy(20060)   (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
RELATED QUESTIONS

Please help me solve this problem: What is the number?.Four times the sum of -3 and a... (answered by solver91311)
What is three times the sum of -2 and a number yields the difference between 6 and 3... (answered by stanbon)
please help me solve.three times the sum of -4 and a number yields the difference between (answered by Theo)
the product of 14 and the difference between a number and 4 yields 2 times the number... (answered by harpazo)
six times the difference of twice a number and 10 yields the number increased by... (answered by algebrahouse.com)
the sum of four times a number and 1 is equal to the difference of twice the number and... (answered by solver91311)
10 times the difference of a number and 8 yields 30 (answered by ewatrrr)
twice the difference of seven times a number and four yields the same number increased by (answered by stanbon)
The sum of 2 and 3 times the difference of a number and 5 is equal to 4 times the... (answered by Schaman_Dempster)