document.write( "Question 223673: The sum of a number and two is three more than twice the same number \n" ); document.write( "
Algebra.Com's Answer #167229 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The sum of a number and two is three more than twice the same number.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let n be the number\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let n+2 be the sum of a number and 2.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 2n+3 be three more than twice the number.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then n+2=2n+3 since the sum of a number and two is three more than twice the same number.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Solving the equation in Step 4 yields the following steps:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: n=-1.
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  • Graphical form: Equation \"n%2B2=2n%2B3\" was fully solved.
  • Text form: n+2=2n+3 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+n%2B2=2n%2B3+%29\"
    For tutors: simplify_cartoon( n+2=2n+3 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"n%2B2=highlight_red%28+2%2An%2B3+%29\".
Moved these terms to the left \"highlight_green%28+-2%2An+%29\",\"highlight_green%28+-3+%29\"
It becomes \"n%2B2-highlight_green%28+2%2An+%29-highlight_green%28+3+%29=0\".
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Look at \"n%2Bhighlight_red%28+2+%29-2%2An-highlight_red%28+3+%29=0\".
Added fractions or integers together
It becomes \"n%2Bhighlight_green%28+-1+%29-2%2An=0\".
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Look at \"n%2Bhighlight_red%28+-1+%29-2%2An=0\".
Moved \"-1\" to the right of expression
It becomes \"n-2%2An%2Bhighlight_green%28+-1+%29=0\".
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Look at \"n-2%2An%2Bhighlight_red%28+-1+%29=0\".
Removed extra sign in front of \"-1\"
It becomes \"n-2%2An-highlight_green%28+1+%29=0\".
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Look at \"highlight_red%28+n+%29-highlight_red%28+2%2An+%29-1=0\".
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 \"highlight_green%28+%281-2%29%2An+%29-1=0\".
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Look at \"%28highlight_red%28+1+%29-highlight_red%28+2+%29%29%2An-1=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-1+%29%29%2An-1=0\".
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Look at \"%28highlight_red%28+-1+%29%29%2An-1=0\".
Removed extra sign in front of \"-1\"
It becomes \"%28-highlight_green%28+1+%29%29%2An-1=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+1+%29%29%2An+%29-1=0\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\"
It becomes \"-highlight_green%28+1+%29%2An-1=0\".
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Look at \"-highlight_red%28+1+%29%2An-1=0\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"-n-1=0\".
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Look at \"highlight_red%28+-n-1+%29=0\".
Solved linear equation \"highlight_red%28+-n-1=0+%29\" equivalent to -n-1 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: n=-1.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The number is -1.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "
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