SOLUTION: The sum of a number and two is three more than twice the same number

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Question 223673: The sum of a number and two is three more than twice the same number
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
The sum of a number and two is three more than twice the same number.

Step 1. Let n be the number

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

Step 3. Let 2n+3 be three more than twice the number.

Step 4. Then n+2=2n+3 since the sum of a number and two is three more than twice the same number.

Step 5. Solving the equation in Step 4 yields the following steps:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: n=-1.
  • Graphical form: Equation was fully solved.
  • Text form: n+2=2n+3 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( n+2=2n+3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-2%2An+%29,highlight_green%28+-3+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -1 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -1
It becomes .
Look at .
Eliminated similar terms highlight_red%28+n+%29,highlight_red%28+-2%2An+%29 replacing them with highlight_green%28+%281-2%29%2An+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -1
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-n-1=0+%29 equivalent to -n-1 =0
It becomes .
Result:
This is an equation! Solutions: n=-1.

Universal Simplifier and Solver


Done!



Step 6. ANSWER: The number is -1.

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.

Good luck in your studies!

Respectfully,
Dr J
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