document.write( "Question 615260: Solve 2x=x+1 \n" ); document.write( "

Algebra.Com's Answer #387170 by asuar010(338) $\"\"$ $\"About$

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=1.
Graphical form: Equation $\"2x=x%2B1\"$ was fully solved.
Text form: 2x=x+1 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2x=x%2B1+%29\"$
For tutors: simplify_cartoon( 2x=x+1 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"2%2Ax=highlight_red%28+x%2B1+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+-1+%29\"$
It becomes $\"2%2Ax-highlight_green%28+x+%29-highlight_green%28+1+%29=0\"$ .
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Look at $\"highlight_red%28+2%2Ax+%29-highlight_red%28+x+%29-1=0\"$ .
Eliminated similar terms $\"highlight_red%28+2%2Ax+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%282-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%282-1%29%2Ax+%29-1=0\"$ .
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Look at $\"highlight_red%28+%282-1%29+%29%2Ax-1=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+%282-1%29+%29\"$
It becomes $\"x-1=0\"$ .
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Look at $\"highlight_red%28+x-1+%29=0\"$ .
Solved linear equation $\"highlight_red%28+x-1=0+%29\"$ equivalent to x-1 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
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Universal Simplifier and Solver

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Done!

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