SOLUTION: 4/3u-6=7/3u+8

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Question 24820: 4/3u-6=7/3u+8
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


  • This is an equation! Solutions: u=-14.
  • Graphical form: Equation %284%2F3%29%2Au-6=%287%2F3%29%2Au%2B8 was fully solved.
  • Text form: (4/3)*u-6=(7/3)*u+8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%284%2F3%29%2Au-6=%287%2F3%29%2Au%2B8+%29
    For tutors: simplify_cartoon( (4/3)*u-6=(7/3)*u+8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+4%2F3+%29%29%2Au+%29-6=%287%2F3%29%2Au%2B8.
Remove unneeded parentheses around factor highlight_red%28+4+%29,highlight_red%28+1%2F3+%29
It becomes highlight_green%28+4+%29%2Fhighlight_green%28+3+%29%2Au-6=%287%2F3%29%2Au%2B8.
Look at 4%2F3%2Au-6=highlight_red%28+%28highlight_red%28+7%2F3+%29%29%2Au+%29%2B8.
Remove unneeded parentheses around factor highlight_red%28+7+%29,highlight_red%28+1%2F3+%29
It becomes 4%2F3%2Au-6=highlight_green%28+7+%29%2Fhighlight_green%28+3+%29%2Au%2B8.
Look at 4%2F3%2Au-6=highlight_red%28+7%2F3%2Au%2B8+%29.
Moved these terms to the left highlight_green%28+-7%2F3%2Au+%29,highlight_green%28+-8+%29
It becomes 4%2F3%2Au-6-highlight_green%28+7%2F3%2Au+%29-highlight_green%28+8+%29=0.
Look at 4%2F3%2Au-highlight_red%28+6+%29-7%2F3%2Au-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 4%2F3%2Au%2Bhighlight_green%28+-14+%29-7%2F3%2Au=0.
Look at 4%2F3%2Au%2Bhighlight_red%28+-14+%29-7%2F3%2Au=0.
Moved -14 to the right of expression
It becomes 4%2F3%2Au-7%2F3%2Au%2Bhighlight_green%28+-14+%29=0.
Look at 4%2F3%2Au-7%2F3%2Au%2Bhighlight_red%28+-14+%29=0.
Removed extra sign in front of -14
It becomes 4%2F3%2Au-7%2F3%2Au-highlight_green%28+14+%29=0.
Look at highlight_red%28+4%2F3%2Au+%29-highlight_red%28+7%2F3%2Au+%29-14=0.
Eliminated similar terms highlight_red%28+4%2F3%2Au+%29,highlight_red%28+-7%2F3%2Au+%29 replacing them with highlight_green%28+%284%2A1%2F3-7%2A1%2F3%29%2Au+%29
It becomes highlight_green%28+%284%2A1%2F3-7%2A1%2F3%29%2Au+%29-14=0.
Look at %28highlight_red%28+4+%29%2Ahighlight_red%28+1+%29%2F3-7%2A1%2F3%29%2Au-14=0.
Multiplied numerator integers
It becomes %28highlight_green%28+4+%29%2F3-7%2A1%2F3%29%2Au-14=0.
Look at %284%2F3-highlight_red%28+7+%29%2Ahighlight_red%28+1+%29%2F3%29%2Au-14=0.
Multiplied numerator integers
It becomes %284%2F3-highlight_green%28+7+%29%2F3%29%2Au-14=0.
Look at %28highlight_red%28+4%2F3+%29-highlight_red%28+7%2F3+%29%29%2Au-14=0.
Added fractions or integers together
It becomes %28-highlight_green%28+3%2F3+%29%29%2Au-14=0.
Look at %28-highlight_red%28+3+%29%2Fhighlight_red%28+3+%29%29%2Au-14=0.
Reduce similar several occurrences of highlight_red%28+3+%29 to highlight_green%28+1+%29
It becomes %28-highlight_green%28+1+%29%29%2Au-14=0.
Look at highlight_red%28+%28-highlight_red%28+1+%29%29%2Au+%29-14=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -highlight_green%28+1+%29%2Au-14=0.
Look at -highlight_red%28+1+%29%2Au-14=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -u-14=0.
Look at highlight_red%28+-u-14+%29=0.
Solved linear equation highlight_red%28+-u-14=0+%29 equivalent to -u-14 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: u=-14.

Universal Simplifier and Solver


Done!

Hope this helps!