SOLUTION: 1/5x-2=2/3x-2/5x

Algebra ->  Linear-equations -> SOLUTION: 1/5x-2=2/3x-2/5x      Log On


   

Question 26454: 1/5x-2=2/3x-2/5x
Answer by Alwayscheerful(414) 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


  • Graphical form: 1%2F5%2Fx-2=2%2F3%2Fx-2%2F5%2Fx simplifies to -1%2F15%2Fx-2=0
  • Text form: 1/5/x-2=2/3/x-2/5/x simplifies to -1/15/x-2=0
  • Cartoon (animation) form: simplify_cartoon%28+1%2F5%2Fx-2=2%2F3%2Fx-2%2F5%2Fx+%29
    For tutors: simplify_cartoon( 1/5/x-2=2/3/x-2/5/x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 1%2F5%2Fx-2=highlight_red%28+2%2F3%2Fx+%29-highlight_red%28+2%2F5%2Fx+%29.
Eliminated similar terms highlight_red%28+2%2F3%2Fx+%29,highlight_red%28+-2%2F5%2Fx+%29 replacing them with highlight_green%28+%282%2A1%2F3-2%2A1%2F5%29%2Fx+%29
It becomes 1%2F5%2Fx-2=highlight_green%28+%282%2A1%2F3-2%2A1%2F5%29%2Fx+%29.
Look at 1%2F5%2Fx-2=%28highlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2F3-2%2A1%2F5%29%2Fx.
Multiplied numerator integers
It becomes 1%2F5%2Fx-2=%28highlight_green%28+2+%29%2F3-2%2A1%2F5%29%2Fx.
Look at 1%2F5%2Fx-2=%282%2F3-highlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2F5%29%2Fx.
Multiplied numerator integers
It becomes 1%2F5%2Fx-2=%282%2F3-highlight_green%28+2+%29%2F5%29%2Fx.
Look at 1%2F5%2Fx-2=%28highlight_red%28+2%2F3+%29-highlight_red%28+2%2F5+%29%29%2Fx.
Added fractions or integers together
It becomes 1%2F5%2Fx-2=%28highlight_green%28+4%2F15+%29%29%2Fx.
Look at 1%2F5%2Fx-2=highlight_red%28+%28highlight_red%28+4%2F15+%29%29%2Fx+%29.
Remove unneeded parentheses around factor highlight_red%28+4+%29,highlight_red%28+1%2F15+%29
It becomes 1%2F5%2Fx-2=highlight_green%28+4+%29%2Fhighlight_green%28+15+%29%2Fx.
Look at 1%2F5%2Fx-2=highlight_red%28+4%2F15%2Fx+%29.
Moved these terms to the left highlight_green%28+-4%2F15%2Fx+%29
It becomes 1%2F5%2Fx-2-highlight_green%28+4%2F15%2Fx+%29=0.
Look at 1%2F5%2Fx-highlight_red%28+2+%29-4%2F15%2Fx=0.
Moved -2 to the right of expression
It becomes 1%2F5%2Fx-4%2F15%2Fx-highlight_green%28+2+%29=0.
Look at highlight_red%28+1%2F5%2Fx+%29-highlight_red%28+4%2F15%2Fx+%29-2=0.
Eliminated similar terms highlight_red%28+1%2F5%2Fx+%29,highlight_red%28+-4%2F15%2Fx+%29 replacing them with highlight_green%28+%281%2A1%2F5-4%2A1%2F15%29%2Fx+%29
It becomes highlight_green%28+%281%2A1%2F5-4%2A1%2F15%29%2Fx+%29-2=0.
Look at %28highlight_red%28+1+%29%2Ahighlight_red%28+1+%29%2F5-4%2A1%2F15%29%2Fx-2=0.
Multiplied numerator integers
It becomes %28highlight_green%28+1+%29%2F5-4%2A1%2F15%29%2Fx-2=0.
Look at %281%2F5-highlight_red%28+4+%29%2Ahighlight_red%28+1+%29%2F15%29%2Fx-2=0.
Multiplied numerator integers
It becomes %281%2F5-highlight_green%28+4+%29%2F15%29%2Fx-2=0.
Look at %28highlight_red%28+1%2F5+%29-highlight_red%28+4%2F15+%29%29%2Fx-2=0.
Added fractions or integers together
It becomes %28-highlight_green%28+1%2F15+%29%29%2Fx-2=0.
Look at highlight_red%28+%28-highlight_red%28+1%2F15+%29%29%2Fx+%29-2=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F15+%29
It becomes -highlight_green%28+1+%29%2Fhighlight_green%28+15+%29%2Fx-2=0.
Result: -1%2F15%2Fx-2=0

Universal Simplifier and Solver


Done!

Hope this helps!