document.write( "Question 756294: A number is 12 more than the other. Find the numbers if their sum is 48.
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Algebra.Com's Answer #460082 by algebraic penguin(13)\"\" \"About 
You can put this solution on YOUR website!
Let the smaller number be x.
\n" ); document.write( "Since the largest number is 12 more than it, the larger number is x+12.
\n" ); document.write( "Their sum is x+(x+12)=2x+12.
\n" ); document.write( "2x+12=48, since their sum is 48, so 2x=48-12=36, and x=36/2=18.
\n" ); document.write( "Since x is 18, x+12=30, which are the value of the 2 numbers.\r
\n" ); document.write( "\n" ); document.write( "Thus, the numbers are 18 and 30.\r
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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=18.
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  • Graphical form: Equation \"x%2B%28x%2B12%29=48\" was fully solved.
  • Text form: x+(x+12)=48 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2B%28x%2B12%29=48+%29\"
    For tutors: simplify_cartoon( x+(x+12)=48 )
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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+%28x%2B12%29+%29=48\".
Remove unneeded parentheses around terms \"highlight_red%28+x+%29\",\"highlight_red%28+12+%29\"
It becomes \"x%2Bhighlight_green%28+x+%29%2Bhighlight_green%28+12+%29=48\".
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Look at \"highlight_red%28+x+%29%2Bhighlight_red%28+x+%29%2B12=48\".
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+x+%29\" replacing them with \"highlight_green%28+%281%2B1%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B1%29%2Ax+%29%2B12=48\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B12=48\".
Added fractions or integers together
It becomes \"%28highlight_green%28+2+%29%29%2Ax%2B12=48\".
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Look at \"highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29%2B12=48\".
Remove unneeded parentheses around factor \"highlight_red%28+2+%29\"
It becomes \"highlight_green%28+2+%29%2Ax%2B12=48\".
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Look at \"2%2Ax%2B12=highlight_red%28+48+%29\".
Moved these terms to the left \"highlight_green%28+-48+%29\"
It becomes \"2%2Ax%2B12-highlight_green%28+48+%29=0\".
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Look at \"2%2Ax%2Bhighlight_red%28+12+%29-highlight_red%28+48+%29=0\".
Added fractions or integers together
It becomes \"2%2Ax%2Bhighlight_green%28+-36+%29=0\".
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Look at \"2%2Ax%2Bhighlight_red%28+-36+%29=0\".
Removed extra sign in front of \"-36\"
It becomes \"2%2Ax-highlight_green%28+36+%29=0\".
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Look at \"highlight_red%28+2%2Ax-36+%29=0\".
Solved linear equation \"highlight_red%28+2%2Ax-36=0+%29\" equivalent to 2*x-36 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=18.

Universal Simplifier and Solver

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Done!
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