document.write( "Question 216433: -29 = -(6x - 1) - 6(5 + 3x) \n" ); document.write( "

Algebra.Com's Answer #163409 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-29+=+-%286x+-+1%29+-+6%285+%2B+3x%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "The following steps will solve the above equaiton.\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=0.
Graphical form: $\"-29=-%286x-1%29-6%2A%285%2B3x%29\"$ simplifies to $\"24=0\"$
Text form: -29=-(6x-1)-6*(5+3x) simplifies to 24=0
Cartoon (animation) form: $\"simplify_cartoon%28+-29=-%286x-1%29-6%2A%285%2B3x%29+%29\"$
For tutors: simplify_cartoon( -29=-(6x-1)-6*(5+3x) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"-29=-highlight_red%28+%286%2Ax-1%29+%29-6%2A%285%2B3%2Ax%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-6%2Ax+%29\"$ , $\"highlight_red%28+1+%29\"$
It becomes $\"-29=-highlight_green%28+6%2Ax+%29%2Bhighlight_green%28+1+%29-6%2A%285%2B3%2Ax%29\"$ .
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Look at $\"-29=-6%2Ax%2B1-6%2A%28highlight_red%28+5+%29%2B3%2Ax%29\"$ .
Moved $\"5\"$ to the right of expression
It becomes $\"-29=-6%2Ax%2B1-6%2A%283%2Ax%2Bhighlight_green%28+5+%29%29\"$ .
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Look at $\"-29=-6%2Ax%2Bhighlight_red%28+1+%29-6%2A%283%2Ax%2B5%29\"$ .
Moved $\"1\"$ to the right of expression
It becomes $\"-29=-6%2Ax-6%2A%283%2Ax%2B5%29%2Bhighlight_green%28+1+%29\"$ .
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Look at $\"-29=highlight_red%28+-6%2Ax-6%2A%283%2Ax%2B5%29%2B1+%29\"$ .
Moved these terms to the left $\"highlight_green%28+6%2Ax+%29\"$ , $\"highlight_green%28+6%2A%283%2Ax%2B5%29+%29\"$ , $\"highlight_green%28+-1+%29\"$
It becomes

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Look at $\"-highlight_red%28+29+%29%2B6%2Ax%2B6%2A%283%2Ax%2B5%29-highlight_red%28+1+%29=0\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+-30+%29%2B6%2Ax%2B6%2A%283%2Ax%2B5%29=0\"$ .
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Look at $\"highlight_red%28+-30+%29%2B6%2Ax%2B6%2A%283%2Ax%2B5%29=0\"$ .
Moved $\"-30\"$ to the right of expression
It becomes $\"6%2Ax%2B6%2A%283%2Ax%2B5%29%2Bhighlight_green%28+-30+%29=0\"$ .
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Look at $\"6%2Ax%2B6%2A%283%2Ax%2B5%29%2Bhighlight_red%28+-30+%29=0\"$ .
Removed extra sign in front of $\"-30\"$
It becomes $\"6%2Ax%2B6%2A%283%2Ax%2B5%29-highlight_green%28+30+%29=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+6%2A%283%2Ax%2B5%29+%29-30=0\"$ .
Expanded term $\"6\"$ by using associative property on $\"%283%2Ax%2B5%29\"$
It becomes $\"6%2Ax%2Bhighlight_green%28+6%2A3%2Ax+%29%2Bhighlight_green%28+6%2A5+%29-30=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+3+%29%2Ax%2B6%2A5-30=0\"$ .
Multiplied numerator integers
It becomes $\"6%2Ax%2Bhighlight_green%28+18+%29%2Ax%2B6%2A5-30=0\"$ .
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Look at $\"6%2Ax%2B18%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+5+%29-30=0\"$ .
Multiplied numerator integers
It becomes $\"6%2Ax%2B18%2Ax%2Bhighlight_green%28+30+%29-30=0\"$ .
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Look at $\"6%2Ax%2B18%2Ax%2Bhighlight_red%28+30+%29-highlight_red%28+30+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Ax%2B18%2Ax%2Bhighlight_green%28+0+%29=0\"$ .
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Look at $\"6%2Ax%2B18%2Ax%2Bhighlight_red%28+0+%29=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"6%2Ax%2B18%2Ax=0\"$ .
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Look at $\"highlight_red%28+6%2Ax+%29%2Bhighlight_red%28+18%2Ax+%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+6%2Ax+%29\"$ , $\"highlight_red%28+18%2Ax+%29\"$ replacing them with $\"highlight_green%28+%286%2B18%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%286%2B18%29%2Ax+%29=0\"$ .
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Look at $\"%28highlight_red%28+6+%29%2Bhighlight_red%28+18+%29%29%2Ax=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+24+%29%29%2Ax=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+24+%29%29%2Ax+%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+24+%29\"$
It becomes $\"highlight_green%28+24+%29%2Ax=0\"$ .
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Look at $\"24%2Ahighlight_red%28+x+%29=0\"$ .
Notes known roots (x-(0))
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Look at $\"highlight_red%28+24%2A%28highlight_red%28+1+%29%29+%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"24%2Ahighlight_green%28+1+%29=0\"$ .
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Look at $\"highlight_red%28+24+%29%2Ahighlight_red%28+1+%29=0\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+24+%29=0\"$ .
Result: $\"24=0\"$
\n" ); document.write( "This is an equation! Solutions: x=0.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonmetry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r
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\n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at \r
\n" ); document.write( "\n" ); document.write( "john@e-liteworks.com for your future math needs.\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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