document.write( "Question 932166: solve each equation.\r
\n" ); document.write( "\n" ); document.write( "5-(3a-4)/5= (7-2a)/2 \n" ); document.write( "
Algebra.Com's Answer #569488 by srinivas.g(540)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: a=-5.75.
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  • Graphical form: Equation \"5-%283a-4%29%2F5=%287-2a%29%2F2\" was fully solved.
  • Text form: 5-(3a-4)/5=(7-2a)/2 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+5-%283a-4%29%2F5=%287-2a%29%2F2+%29\"
    For tutors: simplify_cartoon( 5-(3a-4)/5=(7-2a)/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+5+%29-%283%2Aa-4%29%2F5=%287-2a%29%2F2\".
Moved \"5\" to the right of expression
It becomes \"-%283%2Aa-4%29%2F5%2Bhighlight_green%28+5+%29=%287-2a%29%2F2\".
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Look at \"-%283%2Aa-4%29%2F5%2B5=%28highlight_red%28+7+%29-2%2Aa%29%2F2\".
Moved \"7\" to the right of expression
It becomes \"-%283%2Aa-4%29%2F5%2B5=%28-2%2Aa%2Bhighlight_green%28+7+%29%29%2F2\".
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Look at \"-%283%2Aa-4%29%2F5%2B5=highlight_red%28+%28-2%2Aa%2B7%29%2F2+%29\".
Moved these terms to the left \"highlight_green%28+-%28-2%2Aa%2B7%29%2F2+%29\"
It becomes \"-%283%2Aa-4%29%2F5%2B5-highlight_green%28+%28-2%2Aa%2B7%29%2F2+%29=0\".
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Look at \"-%283%2Aa-4%29%2F5%2Bhighlight_red%28+5+%29-%28-2%2Aa%2B7%29%2F2=0\".
Moved \"5\" to the right of expression
It becomes \"-%283%2Aa-4%29%2F5-%28-2%2Aa%2B7%29%2F2%2Bhighlight_green%28+5+%29=0\".
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Look at \"-highlight_red%28+%283%2Aa-4%29%2F5+%29-%28-2%2Aa%2B7%29%2F2%2B5=0\".
Expanded term \"-1%2F5\" by using associative property on \"%283%2Aa-4%29\"
It becomes .
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Look at .
Multiplied numerator integers
It becomes \"-highlight_green%28+3+%29%2F5%2Aa%2B1%2F5%2A4-%28-2%2Aa%2B7%29%2F2%2B5=0\".
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Look at \"-3%2F5%2Aa%2Bhighlight_red%28+1+%29%2F5%2Ahighlight_red%28+4+%29-%28-2%2Aa%2B7%29%2F2%2B5=0\".
Multiplied numerator integers
It becomes \"-3%2F5%2Aa%2Bhighlight_green%28+4+%29%2F5-%28-2%2Aa%2B7%29%2F2%2B5=0\".
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Look at \"-3%2F5%2Aa%2Bhighlight_red%28+4%2F5+%29-%28-2%2Aa%2B7%29%2F2%2Bhighlight_red%28+5+%29=0\".
Added fractions or integers together
It becomes \"-3%2F5%2Aa%2Bhighlight_green%28+29%2F5+%29-%28-2%2Aa%2B7%29%2F2=0\".
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Look at \"-3%2F5%2Aa%2Bhighlight_red%28+29%2F5+%29-%28-2%2Aa%2B7%29%2F2=0\".
Moved \"29%2F5\" to the right of expression
It becomes \"-3%2F5%2Aa-%28-2%2Aa%2B7%29%2F2%2Bhighlight_green%28+29%2F5+%29=0\".
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Look at \"-3%2F5%2Aa-highlight_red%28+%28-2%2Aa%2B7%29%2F2+%29%2B29%2F5=0\".
Expanded term \"-1%2F2\" by using associative property on \"%28-2%2Aa%2B7%29\"
It becomes .
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Look at \"-3%2F5%2Aa%2B1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+2+%29%2Aa-1%2F2%2A7%2B29%2F5=0\".
Factors 2 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
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Look at \"-3%2F5%2Aa%2Bhighlight_red%28+1+%29%2F1%2Ahighlight_red%28+1+%29%2Aa-1%2F2%2A7%2B29%2F5=0\".
Multiplied numerator integers
It becomes \"-3%2F5%2Aa%2Bhighlight_green%28+1+%29%2F1%2Aa-1%2F2%2A7%2B29%2F5=0\".
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Look at \"-3%2F5%2Aa%2B1%2F1%2Aa-highlight_red%28+1+%29%2F2%2Ahighlight_red%28+7+%29%2B29%2F5=0\".
Multiplied numerator integers
It becomes \"-3%2F5%2Aa%2B1%2F1%2Aa-highlight_green%28+7+%29%2F2%2B29%2F5=0\".
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Look at \"-3%2F5%2Aa%2B1%2F1%2Aa-highlight_red%28+7%2F2+%29%2Bhighlight_red%28+29%2F5+%29=0\".
Added fractions or integers together
It becomes \"-3%2F5%2Aa%2B1%2F1%2Aa%2Bhighlight_green%28+23%2F10+%29=0\".
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Look at \"-3%2F5%2Aa%2Bhighlight_red%28+1+%29%2Fhighlight_red%28+1+%29%2Aa%2B23%2F10=0\".
Reduce similar several occurrences of \"highlight_red%28+1+%29\" to
It becomes \"-3%2F5%2Aa%2Ba%2B23%2F10=0\".
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Look at \"-highlight_red%28+3%2F5%2Aa+%29%2Bhighlight_red%28+a+%29%2B23%2F10=0\".
Eliminated similar terms \"highlight_red%28+-3%2F5%2Aa+%29\",\"highlight_red%28+a+%29\" replacing them with \"highlight_green%28+%28-3%2A1%2F5%2B1%29%2Aa+%29\"
It becomes \"highlight_green%28+%28-3%2A1%2F5%2B1%29%2Aa+%29%2B23%2F10=0\".
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Look at \"%28-highlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2F5%2B1%29%2Aa%2B23%2F10=0\".
Multiplied numerator integers
It becomes \"%28-highlight_green%28+3+%29%2F5%2B1%29%2Aa%2B23%2F10=0\".
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Look at \"%28-highlight_red%28+3%2F5+%29%2Bhighlight_red%28+1+%29%29%2Aa%2B23%2F10=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+2%2F5+%29%29%2Aa%2B23%2F10=0\".
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Look at \"highlight_red%28+%28highlight_red%28+2%2F5+%29%29%2Aa+%29%2B23%2F10=0\".
Remove unneeded parentheses around factor \"highlight_red%28+2+%29\",\"highlight_red%28+1%2F5+%29\"
It becomes \"highlight_green%28+2+%29%2Fhighlight_green%28+5+%29%2Aa%2B23%2F10=0\".
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Look at \"highlight_red%28+2%2F5%2Aa%2B23%2F10+%29=0\".
Solved linear equation \"highlight_red%28+2%2F5%2Aa%2B23%2F10=0+%29\" equivalent to 0.4*a+2.3 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!
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