document.write( "Question 19222: x + x + x = x \n" ); document.write( "

Algebra.Com's Answer #9347 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: x=0.
Graphical form: $\"x%2Bx%2Bx=x\"$ simplifies to $\"2=0\"$
Text form: x+x+x=x simplifies to 2=0
Cartoon (animation) form: $\"simplify_cartoon%28+x%2Bx%2Bx=x+%29\"$
For tutors: simplify_cartoon( x+x+x=x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+x+%29%2Bhighlight_red%28+x+%29%2Bhighlight_red%28+x+%29=x\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+x+%29\"$ replacing them with $\"highlight_green%28+%281%2B1%2B1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2B1%2B1%29%2Ax+%29=x\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax=x\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+3+%29%29%2Ax=x\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=x\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29%2Ax=x\"$ .
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Look at $\"3%2Ax=highlight_red%28+x+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x+%29\"$
It becomes $\"3%2Ax-highlight_green%28+x+%29=0\"$ .
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Look at $\"highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+3%2Ax+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%283-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%283-1%29%2Ax+%29=0\"$ .
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Look at $\"%28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2Ax=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+2+%29%2Ax=0\"$ .
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Look at $\"2%2Ahighlight_red%28+x+%29=0\"$ .
Notes known roots (x-(0))
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Look at $\"highlight_red%28+2%2A%28highlight_red%28+1+%29%29+%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"2%2Ahighlight_green%28+1+%29=0\"$ .
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Look at $\"highlight_red%28+2+%29%2Ahighlight_red%28+1+%29=0\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+2+%29=0\"$ .
Result: $\"2=0\"$
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Universal Simplifier and Solver

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Done!

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