SOLUTION: 21-1(m+8)/5=14+m/7

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Question 614374: 21-1(m+8)/5=14+m/7
Answer by asuar010(338) About Me  (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: m=15.75.
  • Graphical form: Equation 21-1%2A%28m%2B8%29%2F5=14%2Bm%2F7 was fully solved.
  • Text form: 21-1*(m+8)/5=14+m/7 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+21-1%2A%28m%2B8%29%2F5=14%2Bm%2F7+%29
    For tutors: simplify_cartoon( 21-1*(m+8)/5=14+m/7 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 21-highlight_red%28+1+%29%2A%28m%2B8%29%2F5=14%2Bm%2F7.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes 21-%28m%2B8%29%2F5=14%2Bm%2F7.
Look at highlight_red%28+21+%29-%28m%2B8%29%2F5=14%2Bm%2F7.
Moved 21 to the right of expression
It becomes -%28m%2B8%29%2F5%2Bhighlight_green%28+21+%29=14%2Bm%2F7.
Look at -%28m%2B8%29%2F5%2B21=highlight_red%28+14+%29%2Bm%2F7.
Moved 14 to the right of expression
It becomes -%28m%2B8%29%2F5%2B21=m%2F7%2Bhighlight_green%28+14+%29.
Look at -%28m%2B8%29%2F5%2B21=highlight_red%28+m%2F7%2B14+%29.
Moved these terms to the left highlight_green%28+-m%2F7+%29,highlight_green%28+-14+%29
It becomes -%28m%2B8%29%2F5%2B21-highlight_green%28+m%2F7+%29-highlight_green%28+14+%29=0.
Look at -%28m%2B8%29%2F5%2Bhighlight_red%28+21+%29-m%2F7-highlight_red%28+14+%29=0.
Added fractions or integers together
It becomes -%28m%2B8%29%2F5%2Bhighlight_green%28+7+%29-m%2F7=0.
Look at -%28m%2B8%29%2F5%2Bhighlight_red%28+7+%29-m%2F7=0.
Moved 7 to the right of expression
It becomes -%28m%2B8%29%2F5-m%2F7%2Bhighlight_green%28+7+%29=0.
Look at -highlight_red%28+%28m%2B8%29%2F5+%29-m%2F7%2B7=0.
Expanded term -1%2F5 by using associative property on %28m%2B8%29
It becomes -highlight_green%28+1%2F5%2Am+%29-highlight_green%28+1%2F5%2A8+%29-m%2F7%2B7=0.
Look at -highlight_red%28+1+%29%2F5%2Am-1%2F5%2A8-m%2F7%2B7=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -m%2F5-1%2F5%2A8-m%2F7%2B7=0.
Look at -m%2F5-highlight_red%28+1+%29%2F5%2Ahighlight_red%28+8+%29-m%2F7%2B7=0.
Multiplied numerator integers
It becomes -m%2F5-highlight_green%28+8+%29%2F5-m%2F7%2B7=0.
Look at -m%2F5-highlight_red%28+8%2F5+%29-m%2F7%2Bhighlight_red%28+7+%29=0.
Added fractions or integers together
It becomes -m%2F5%2Bhighlight_green%28+27%2F5+%29-m%2F7=0.
Look at -m%2F5%2Bhighlight_red%28+27%2F5+%29-m%2F7=0.
Moved 27%2F5 to the right of expression
It becomes -m%2F5-m%2F7%2Bhighlight_green%28+27%2F5+%29=0.
Look at -highlight_red%28+m%2F5+%29-highlight_red%28+m%2F7+%29%2B27%2F5=0.
Eliminated similar terms highlight_red%28+-m%2F5+%29,highlight_red%28+-m%2F7+%29 replacing them with highlight_green%28+%28-1%2F5-1%2F7%29%2Am+%29
It becomes highlight_green%28+%28-1%2F5-1%2F7%29%2Am+%29%2B27%2F5=0.
Look at %28-highlight_red%28+1%2F5+%29-highlight_red%28+1%2F7+%29%29%2Am%2B27%2F5=0.
Added fractions or integers together
It becomes %28-highlight_green%28+12%2F35+%29%29%2Am%2B27%2F5=0.
Look at highlight_red%28+%28-highlight_red%28+12%2F35+%29%29%2Am+%29%2B27%2F5=0.
Remove unneeded parentheses around factor highlight_red%28+12+%29,highlight_red%28+1%2F35+%29
It becomes -highlight_green%28+12+%29%2Fhighlight_green%28+35+%29%2Am%2B27%2F5=0.
Look at highlight_red%28+-12%2F35%2Am%2B27%2F5+%29=0.
Solved linear equation highlight_red%28+-12%2F35%2Am%2B27%2F5=0+%29 equivalent to -0.342857142857143*m+5.4 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: m=15.75.

Universal Simplifier and Solver


Done!