SOLUTION: Three times the sum of twice a number and five is equal to five less than the number. What is the number?

Question 217303: Three times the sum of twice a number and five is equal to five less than the number. What is the number?
Found 2 solutions by RAY100, drj:
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let n= number
.
3*(2n+5) = n-5
.
6n + 15 = n-5
.
5n = -20
.
n= -4
.
.
check,,,3*-3 = -9,,,,,ok
.

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Three times the sum of twice a number and five is equal to five less than the number. What is the number?

Step 1. Let n be the number.

Step 2. Let 2n+5 be the sum of twice a number and five

Step 3. Let 3(2n+5) be three times the sum of twice a number and five

Step 4 Let n-5 be five less than the number.

Step 5. Then using Steps 3 and 4, we have since three times the sum of twice a number and five is equal to five less than the number.

Step 6. Solving the equation in Step 5 yields the following steps:

Add -n-15 to both sides of the equation

Divide 5 to both sides of the equation

Check if equation in Step 5 is true... or that yields ...which is a true statement.

I hope the above steps and explanation were helpful.

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

Also, good luck in your studies and contact me at
john@e-liteworks.com for your future math needs.

Respectfully,
Dr J
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