document.write( "Question 1012232: Seven times a number eaquals 30 more than twice the number. What is the number? \n" ); document.write( "
Algebra.Com's Answer #628104 by ValorousDawn(53)\"\" \"About 
You can put this solution on YOUR website!
Lets say our number is x. Thus, seven times is a number is \"7%2Ax=7x\".
\n" ); document.write( "Equals 30. \"7x=30\"
\n" ); document.write( "More than twice the number. So we add that part. \"7x=30%2B2x\".
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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=6.
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  • Graphical form: Equation \"7x=30%2B2x\" was fully solved.
  • Text form: 7x=30+2x simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+7x=30%2B2x+%29\"
    For tutors: simplify_cartoon( 7x=30+2x )
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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 \"7%2Ax=highlight_red%28+30+%29%2B2%2Ax\".
Moved \"30\" to the right of expression
It becomes \"7%2Ax=2%2Ax%2Bhighlight_green%28+30+%29\".
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Look at \"7%2Ax=highlight_red%28+2%2Ax%2B30+%29\".
Moved these terms to the left \"highlight_green%28+-2%2Ax+%29\",\"highlight_green%28+-30+%29\"
It becomes \"7%2Ax-highlight_green%28+2%2Ax+%29-highlight_green%28+30+%29=0\".
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Look at \"highlight_red%28+7%2Ax+%29-highlight_red%28+2%2Ax+%29-30=0\".
Eliminated similar terms \"highlight_red%28+7%2Ax+%29\",\"highlight_red%28+-2%2Ax+%29\" replacing them with \"highlight_green%28+%287-2%29%2Ax+%29\"
It becomes \"highlight_green%28+%287-2%29%2Ax+%29-30=0\".
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Look at \"%28highlight_red%28+7+%29-highlight_red%28+2+%29%29%2Ax-30=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+5+%29%29%2Ax-30=0\".
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Look at \"highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-30=0\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\"
It becomes \"highlight_green%28+5+%29%2Ax-30=0\".
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Look at \"highlight_red%28+5%2Ax-30+%29=0\".
Solved linear equation \"highlight_red%28+5%2Ax-30=0+%29\" equivalent to 5*x-30 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=6.

Universal Simplifier and Solver

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Done!
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