SOLUTION: How do I solve 2(2r-4)/5=3r+6/4-3/2

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Question 33867This question is from textbook
: How do I solve 2(2r-4)/5=3r+6/4-3/2 This question is from textbook

Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: r=-0.727272727272727.
  • Graphical form: Equation was fully solved.
  • Text form: 2*(2r-4)/5=3r+6/4-3/2 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2*(2r-4)/5=3r+6/4-3/2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Factors 6 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Factors 0 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0%2F1+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-3%2Ar+%29
It becomes .
Look at .
Expanded term 2%2F5 by using associative property on %282%2Ar-4%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Moved -8%2F5 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+4%2F5%2Ar+%29,highlight_red%28+-3%2Ar+%29 replacing them with highlight_green%28+%284%2A1%2F5-3%29%2Ar+%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+11+%29,highlight_red%28+1%2F5+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-11%2F5%2Ar-8%2F5=0+%29 equivalent to -2.2*r-1.6 =0
It becomes .
Result:
This is an equation! Solutions: r=-0.727272727272727.

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Done!
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