SOLUTION: The sum of three times a number and 83 is the same as twice the difference of the number and 17. Find the number.

Question 314335: The sum of three times a number and 83 is the same as twice the difference of the number and 17. Find the number.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x = the number

The equation is
3x+83= 2(x-17)
3x+83=2x-34
3x-2x+83=2x-2x-34
x+83=-34
x=-34-83
x=-117

For additional help with WORD PROBLEMS, please see my own website. Click on my tutor name "rapaljer" anywhere in algebra.com. There you will see the link to my Homepage. Near the top of my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra." Look for Section 1.10 WORD PROBLEMS. See problems #1-10 for more explanataion on this particular type of problem. In this chapter, you will find my own non-traditional explanation of Basic Algebra, complete with examples, exercises, and ALL the answers. Many of these exercises are also solved IN COLOR on my "Math in Living Color" pages that go along with these sections.

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Seminole State College of Florida
Altamonte Springs Campus
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