document.write( "Question 817582: What does the x stand for in this equation:\r
\n" ); document.write( "\n" ); document.write( "X+2+2x=x+10 \n" ); document.write( "
Algebra.Com's Answer #492270 by VictoryStar(6)\"\" \"About 
You can put this solution on YOUR website!
Your question is x+2+2x=x+10
\n" ); document.write( "Since there isn't any distribution to be done, I recommend the next step to be combine like terms, which means everything that ends with the same variable be added. (So 4x+2x+y would be 6x+y)
\n" ); document.write( "This gives you 3x+2=x+10, where you would then proceed to solve.
\n" ); document.write( "Subtract x from both sides, (3x-x=2x, x-x=0), giving you 2x+2=10
\n" ); document.write( "Then subtract two from both sides, (2-2= 0, 10-2=8), giving you 2x=8
\n" ); document.write( "Simplify, by dividing both with 2. (2x/2=x, 8/2=4), giving you x=4
\n" ); document.write( "Put in 4 as x, to check you work. 4+2+2(4)=4+10, 4+2+8=14, 14=14, therefore, it is correct.
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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=4.
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  • Graphical form: Equation \"x%2B2%2B2x=x%2B10\" was fully solved.
  • Text form: x+2+2x=x+10 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2B2%2B2x=x%2B10+%29\"
    For tutors: simplify_cartoon( x+2+2x=x+10 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"x%2Bhighlight_red%28+2+%29%2B2%2Ax=x%2B10\".
Moved \"2\" to the right of expression
It becomes \"x%2B2%2Ax%2Bhighlight_green%28+2+%29=x%2B10\".
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Look at \"highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2B2=x%2B10\".
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+2%2Ax+%29\" replacing them with \"highlight_green%28+%281%2B2%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B2%29%2Ax+%29%2B2=x%2B10\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B2=x%2B10\".
Added fractions or integers together
It becomes \"%28highlight_green%28+3+%29%29%2Ax%2B2=x%2B10\".
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Look at \"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29%2B2=x%2B10\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2Ax%2B2=x%2B10\".
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Look at \"3%2Ax%2B2=highlight_red%28+x%2B10+%29\".
Moved these terms to the left \"highlight_green%28+-x+%29\",\"highlight_green%28+-10+%29\"
It becomes \"3%2Ax%2B2-highlight_green%28+x+%29-highlight_green%28+10+%29=0\".
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Look at \"3%2Ax%2Bhighlight_red%28+2+%29-x-highlight_red%28+10+%29=0\".
Added fractions or integers together
It becomes \"3%2Ax%2Bhighlight_green%28+-8+%29-x=0\".
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Look at \"3%2Ax%2Bhighlight_red%28+-8+%29-x=0\".
Moved \"-8\" to the right of expression
It becomes \"3%2Ax-x%2Bhighlight_green%28+-8+%29=0\".
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Look at \"3%2Ax-x%2Bhighlight_red%28+-8+%29=0\".
Removed extra sign in front of \"-8\"
It becomes \"3%2Ax-x-highlight_green%28+8+%29=0\".
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Look at \"highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29-8=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+%29-8=0\".
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Look at \"%28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax-8=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+2+%29%29%2Ax-8=0\".
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Look at \"highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29-8=0\".
Remove unneeded parentheses around factor \"highlight_red%28+2+%29\"
It becomes \"highlight_green%28+2+%29%2Ax-8=0\".
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Look at \"highlight_red%28+2%2Ax-8+%29=0\".
Solved linear equation \"highlight_red%28+2%2Ax-8=0+%29\" equivalent to 2*x-8 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=4.

Universal Simplifier and Solver

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Done!
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