document.write( "Question 223830: six more than 5 times the number is the same as 9 less than the twice the number. find the number \n" ); document.write( "

Algebra.Com's Answer #167284 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
Six more than 5 times the number is the same as 9 less than the twice the number. Find the 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 5n+6 be six more than 5 times the number\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 2n-9 be 9 less than twice the number.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Equate expression in Steps 2 and 3 to get $\"5n%2B6=2n-9\"$ \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=-5.
Graphical form: Equation $\"5n%2B6=2n-9\"$ was fully solved.
Text form: 5n+6=2n-9 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+5n%2B6=2n-9+%29\"$
For tutors: simplify_cartoon( 5n+6=2n-9 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"5%2An%2B6=highlight_red%28+2%2An-9+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-2%2An+%29\"$ , $\"highlight_green%28+9+%29\"$
It becomes $\"5%2An%2B6-highlight_green%28+2%2An+%29%2Bhighlight_green%28+9+%29=0\"$ .
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Look at $\"5%2An%2Bhighlight_red%28+6+%29-2%2An%2Bhighlight_red%28+9+%29=0\"$ .
Added fractions or integers together
It becomes $\"5%2An%2Bhighlight_green%28+15+%29-2%2An=0\"$ .
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Look at $\"5%2An%2Bhighlight_red%28+15+%29-2%2An=0\"$ .
Moved $\"15\"$ to the right of expression
It becomes $\"5%2An-2%2An%2Bhighlight_green%28+15+%29=0\"$ .
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Look at $\"highlight_red%28+5%2An+%29-highlight_red%28+2%2An+%29%2B15=0\"$ .
Eliminated similar terms $\"highlight_red%28+5%2An+%29\"$ , $\"highlight_red%28+-2%2An+%29\"$ replacing them with $\"highlight_green%28+%285-2%29%2An+%29\"$
It becomes $\"highlight_green%28+%285-2%29%2An+%29%2B15=0\"$ .
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Look at $\"%28highlight_red%28+5+%29-highlight_red%28+2+%29%29%2An%2B15=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+3+%29%29%2An%2B15=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+3+%29%29%2An+%29%2B15=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29%2An%2B15=0\"$ .
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Look at $\"highlight_red%28+3%2An%2B15+%29=0\"$ .
Solved linear equation $\"highlight_red%28+3%2An%2B15=0+%29\"$ equivalent to 3*n+15 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: n=-5.

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 n=-5.\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 \r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r
\n" ); document.write( "\n" ); document.write( "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\r
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