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) 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: a=2.
  • Graphical form: Equation a%2B%28a-3%29=%28a%2B2%29-%28a%2B1%29 was fully solved.
  • Text form: a+(a-3)=(a+2)-(a+1) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+a%2B%28a-3%29=%28a%2B2%29-%28a%2B1%29+%29
    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 a%2Bhighlight_red%28+%28a-3%29+%29=%28a%2B2%29-%28a%2B1%29.
Remove unneeded parentheses around terms highlight_red%28+a+%29,highlight_red%28+-3+%29
It becomes a%2Bhighlight_green%28+a+%29-highlight_green%28+3+%29=%28a%2B2%29-%28a%2B1%29.
Look at highlight_red%28+a+%29%2Bhighlight_red%28+a+%29-3=%28a%2B2%29-%28a%2B1%29.
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 highlight_green%28+%281%2B1%29%2Aa+%29-3=%28a%2B2%29-%28a%2B1%29.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Aa-3=%28a%2B2%29-%28a%2B1%29.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Aa-3=%28a%2B2%29-%28a%2B1%29.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Aa+%29-3=%28a%2B2%29-%28a%2B1%29.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Aa-3=%28a%2B2%29-%28a%2B1%29.
Look at 2%2Aa-3=highlight_red%28+%28a%2B2%29+%29-%28a%2B1%29.
Remove unneeded parentheses around terms highlight_red%28+a+%29,highlight_red%28+2+%29
It becomes 2%2Aa-3=highlight_green%28+a+%29%2Bhighlight_green%28+2+%29-%28a%2B1%29.
Look at 2%2Aa-3=a%2B2-highlight_red%28+%28a%2B1%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-a+%29,highlight_red%28+-1+%29
It becomes 2%2Aa-3=a%2B2-highlight_green%28+a+%29-highlight_green%28+1+%29.
Look at 2%2Aa-3=a%2Bhighlight_red%28+2+%29-a-highlight_red%28+1+%29.
Added fractions or integers together
It becomes 2%2Aa-3=a%2Bhighlight_green%28+1+%29-a.
Look at 2%2Aa-3=a%2Bhighlight_red%28+1+%29-a.
Moved 1 to the right of expression
It becomes 2%2Aa-3=a-a%2Bhighlight_green%28+1+%29.
Look at 2%2Aa-3=highlight_red%28+a+%29-highlight_red%28+a+%29%2B1.
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 2%2Aa-3=highlight_green%28+%281-1%29%2Aa+%29%2B1.
Look at 2%2Aa-3=highlight_red%28+%281-1%29%2Aa+%29%2B1.
Since highlight_red%28+%281-1%29%2Aa+%29 has zero as a factor, it should be replaced with a zero
Look at 2%2Aa-3=0%2B1.
Added fractions or integers together
It becomes 2%2Aa-3=0%2B1.
Look at 2%2Aa-3=highlight_red%28+0+%29%2B1.
Remove extraneous zero highlight_red%28+0+%29
It becomes 2%2Aa-3=1.
Look at 2%2Aa-3=highlight_red%28+1+%29.
Moved these terms to the left highlight_green%28+-1+%29
It becomes 2%2Aa-3-highlight_green%28+1+%29=0.
Look at 2%2Aa-highlight_red%28+3+%29-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes 2%2Aa%2Bhighlight_green%28+-4+%29=0.
Look at 2%2Aa%2Bhighlight_red%28+-4+%29=0.
Removed extra sign in front of -4
It becomes 2%2Aa-highlight_green%28+4+%29=0.
Look at highlight_red%28+2%2Aa-4+%29=0.
Solved linear equation highlight_red%28+2%2Aa-4=0+%29 equivalent to 2*a-4 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=2.

Universal Simplifier and Solver


Done!

Hope this helps!