SOLUTION: When 2 is added to the difference between 6 times a number and 5, the result is greater than 13 added to 5 times the number find all such numbers?

Question 230584: When 2 is added to the difference between 6 times a number and 5, the result is greater than 13 added to 5 times the number find all such numbers?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
When 2 is added to the difference between 6 times a number and 5, the result is greater than 13 added to 5 times the number find all such numbers?

Step 1. Let x be the number

Step 2. Let 6x be six times the number.

Step 3. Let 2+6x-5=6x-3 when 2 is added to the difference between 6x a number and 5.

Step 4. Let 6x-3=13+5x since the result is 13 added to 5 times the number.

Step 5. Solving 6x-3=13+5x leads to the following steps

Add 3-5x to both sides of the equation to get only x terms on one side and only numbers on the other side

Step 6. Check solution with Equation in Step 5

which is a true statement

Step 7. ANSWER: The number is 16.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

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