document.write( "Question 213471This question is from textbook Introductory and Intermediate Algebra
\n" ); document.write( ": How to solve out 3/5t-1/10t=t-5/2 \n" ); document.write( "
Algebra.Com's Answer #161269 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
\"3t%2F5-t%2F10=t-5%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "The following steps will solve the above equation\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: t=5.
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  • Graphical form: Equation \"3t%2F5-t%2F10=t-5%2F2\" was fully solved.
  • Text form: 3t/5-t/10=t-5/2 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+3t%2F5-t%2F10=t-5%2F2+%29\"
    For tutors: simplify_cartoon( 3t/5-t/10=t-5/2 )
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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 \"highlight_red%28+3%2At%2F5+%29-highlight_red%28+t%2F10+%29=t-5%2F2\".
Eliminated similar terms \"highlight_red%28+3%2At%2F5+%29\",\"highlight_red%28+-t%2F10+%29\" replacing them with \"highlight_green%28+%283%2A1%2F5-1%2F10%29%2At+%29\"
It becomes \"highlight_green%28+%283%2A1%2F5-1%2F10%29%2At+%29=t-5%2F2\".
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Look at \"%28highlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2F5-1%2F10%29%2At=t-5%2F2\".
Multiplied numerator integers
It becomes \"%28highlight_green%28+3+%29%2F5-1%2F10%29%2At=t-5%2F2\".
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Look at \"%28highlight_red%28+3%2F5+%29-highlight_red%28+1%2F10+%29%29%2At=t-5%2F2\".
Added fractions or integers together
It becomes \"%28highlight_green%28+5%2F10+%29%29%2At=t-5%2F2\".
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Look at \"highlight_red%28+%28highlight_red%28+5%2F10+%29%29%2At+%29=t-5%2F2\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\",\"highlight_red%28+1%2F10+%29\"
It becomes \"highlight_green%28+5+%29%2Fhighlight_green%28+10+%29%2At=t-5%2F2\".
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Look at \"highlight_red%28+5+%29%2Fhighlight_red%28+10+%29%2At=t-5%2F2\".
Factors 5 and 10 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes \"highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2At=t-5%2F2\".
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Look at \"highlight_red%28+1+%29%2F2%2At=t-5%2F2\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"t%2F2=t-5%2F2\".
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Look at \"t%2F2=highlight_red%28+t-5%2F2+%29\".
Moved these terms to the left \"highlight_green%28+-t+%29\",\"highlight_green%28+5%2F2+%29\"
It becomes \"t%2F2-highlight_green%28+t+%29%2Bhighlight_green%28+5%2F2+%29=0\".
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Look at \"highlight_red%28+t%2F2+%29-highlight_red%28+t+%29%2B5%2F2=0\".
Eliminated similar terms \"highlight_red%28+t%2F2+%29\",\"highlight_red%28+-t+%29\" replacing them with \"highlight_green%28+%281%2F2-1%29%2At+%29\"
It becomes \"highlight_green%28+%281%2F2-1%29%2At+%29%2B5%2F2=0\".
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Look at \"%28highlight_red%28+1%2F2+%29-highlight_red%28+1+%29%29%2At%2B5%2F2=0\".
Added fractions or integers together
It becomes \"%28-highlight_green%28+1%2F2+%29%29%2At%2B5%2F2=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+1%2F2+%29%29%2At+%29%2B5%2F2=0\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\",\"highlight_red%28+1%2F2+%29\"
It becomes \"-highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2At%2B5%2F2=0\".
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Look at \"-highlight_red%28+1+%29%2F2%2At%2B5%2F2=0\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"-t%2F2%2B5%2F2=0\".
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Look at \"highlight_red%28+-t%2F2%2B5%2F2+%29=0\".
Solved linear equation \"highlight_red%28+-t%2F2%2B5%2F2=0+%29\" equivalent to -0.5*t+2.5 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: t=5.

Universal Simplifier and Solver

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Done!

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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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