SOLUTION: 2n+3+4n=2n+5+4n-2

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Question 213089: 2n+3+4n=2n+5+4n-2
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2n%2B3%2B4n=2n%2B5%2B4n-2

The following steps simplifies the above equation.


Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: Equation 2n%2B3%2B4n=2n%2B5%2B4n-2 was fully solved.
  • Text form: 2n+3+4n=2n+5+4n-2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2n%2B3%2B4n=2n%2B5%2B4n-2+%29
    For tutors: simplify_cartoon( 2n+3+4n=2n+5+4n-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2An%2Bhighlight_red%28+3+%29%2B4%2An=2n%2B5%2B4n-2.
Moved 3 to the right of expression
It becomes 2%2An%2B4%2An%2Bhighlight_green%28+3+%29=2n%2B5%2B4n-2.
Look at highlight_red%28+2%2An+%29%2Bhighlight_red%28+4%2An+%29%2B3=2n%2B5%2B4n-2.
Eliminated similar terms highlight_red%28+2%2An+%29,highlight_red%28+4%2An+%29 replacing them with highlight_green%28+%282%2B4%29%2An+%29
It becomes highlight_green%28+%282%2B4%29%2An+%29%2B3=2n%2B5%2B4n-2.
Look at %28highlight_red%28+2+%29%2Bhighlight_red%28+4+%29%29%2An%2B3=2n%2B5%2B4n-2.
Added fractions or integers together
It becomes %28highlight_green%28+6+%29%29%2An%2B3=2n%2B5%2B4n-2.
Look at highlight_red%28+%28highlight_red%28+6+%29%29%2An+%29%2B3=2n%2B5%2B4n-2.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes highlight_green%28+6+%29%2An%2B3=2n%2B5%2B4n-2.
Look at 6%2An%2B3=2%2An%2Bhighlight_red%28+5+%29%2B4%2An-highlight_red%28+2+%29.
Added fractions or integers together
It becomes 6%2An%2B3=2%2An%2Bhighlight_green%28+3+%29%2B4%2An.
Look at 6%2An%2B3=2%2An%2Bhighlight_red%28+3+%29%2B4%2An.
Moved 3 to the right of expression
It becomes 6%2An%2B3=2%2An%2B4%2An%2Bhighlight_green%28+3+%29.
Look at 6%2An%2B3=highlight_red%28+2%2An+%29%2Bhighlight_red%28+4%2An+%29%2B3.
Eliminated similar terms highlight_red%28+2%2An+%29,highlight_red%28+4%2An+%29 replacing them with highlight_green%28+%282%2B4%29%2An+%29
It becomes 6%2An%2B3=highlight_green%28+%282%2B4%29%2An+%29%2B3.
Look at 6%2An%2B3=%28highlight_red%28+2+%29%2Bhighlight_red%28+4+%29%29%2An%2B3.
Added fractions or integers together
It becomes 6%2An%2B3=%28highlight_green%28+6+%29%29%2An%2B3.
Look at 6%2An%2B3=highlight_red%28+%28highlight_red%28+6+%29%29%2An+%29%2B3.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes 6%2An%2B3=highlight_green%28+6+%29%2An%2B3.
Look at 6%2An%2B3=highlight_red%28+6%2An%2B3+%29.
Moved these terms to the left highlight_green%28+-6%2An+%29,highlight_green%28+-3+%29
It becomes 6%2An%2B3-highlight_green%28+6%2An+%29-highlight_green%28+3+%29=0.
Look at 6%2An%2Bhighlight_red%28+3+%29-6%2An-highlight_red%28+3+%29=0.
Added fractions or integers together
It becomes 6%2An%2Bhighlight_green%28+0+%29-6%2An=0.
Look at 6%2An%2Bhighlight_red%28+0+%29-6%2An=0.
Moved 0 to the right of expression
It becomes 6%2An-6%2An%2Bhighlight_green%28+0+%29=0.
Look at 6%2An-6%2An%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes 6%2An-6%2An=0.
Look at highlight_red%28+6%2An+%29-highlight_red%28+6%2An+%29=0.
Eliminated similar terms highlight_red%28+6%2An+%29,highlight_red%28+-6%2An+%29 replacing them with highlight_green%28+%286-6%29%2An+%29
It becomes highlight_green%28+%286-6%29%2An+%29=0.
Look at highlight_red%28+%286-6%29%2An+%29=0.
Since highlight_red%28+%286-6%29%2An+%29 has zero as a factor, it should be replaced with a zero
Look at 0=0.
Added fractions or integers together
It becomes 0=0.
Result: 0=0

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J