SOLUTION: a+(a-3)=(a+2)-(a+1)

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Question 21442: a+(a-3)=(a+2)-(a+1)
Answer by Alwayscheerful(414)   (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: a=2.
  • Graphical form: Equation was fully solved.
  • Text form: a+(a-3)=(a+2)-(a+1) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( a+(a-3)=(a+2)-(a+1) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+a+%29,highlight_red%28+-3+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+a+%29,highlight_red%28+a+%29 replacing them with highlight_green%28+%281%2B1%29%2Aa+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+a+%29,highlight_red%28+2+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+-a+%29,highlight_red%28+-1+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 1 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+a+%29,highlight_red%28+-a+%29 replacing them with highlight_green%28+%281-1%29%2Aa+%29
It becomes .
Look at .
Since highlight_red%28+%281-1%29%2Aa+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-1+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -4
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2Aa-4=0+%29 equivalent to 2*a-4 =0
It becomes .
Result:
This is an equation! Solutions: a=2.

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Done!

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