document.write( "Question 10318: simplify 2(x - 5) - 3(4x + 4) \n" ); document.write( "
Algebra.Com's Answer #5501 by ichudov(507)\"\" \"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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  • Graphical form: \"2%2A%28x-5%29-3%2A%284x%2B4%29\" simplifies to \"-10%2Ax-22\"
  • Text form: 2*(x-5)-3*(4x+4) simplifies to -10*x-22
  • Cartoon (animation) form: \"simplify_cartoon%28+2%2A%28x-5%29-3%2A%284x%2B4%29+%29\"
    For tutors: simplify_cartoon( 2*(x-5)-3*(4x+4) )
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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 \"highlight_red%28+2%2A%28x-5%29+%29-3%2A%284%2Ax%2B4%29\".
Expanded term \"2\" by using associative property on \"%28x-5%29\"
It becomes \"highlight_green%28+2%2Ax+%29-highlight_green%28+2%2A5+%29-3%2A%284%2Ax%2B4%29\".
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Look at \"2%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+5+%29-3%2A%284%2Ax%2B4%29\".
Multiplied numerator integers
It becomes \"2%2Ax-highlight_green%28+10+%29-3%2A%284%2Ax%2B4%29\".
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Look at \"2%2Ax-highlight_red%28+10+%29-3%2A%284%2Ax%2B4%29\".
Moved \"-10\" to the right of expression
It becomes \"2%2Ax-3%2A%284%2Ax%2B4%29-highlight_green%28+10+%29\".
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Look at \"2%2Ax-highlight_red%28+3%2A%284%2Ax%2B4%29+%29-10\".
Expanded term \"-3\" by using associative property on \"%284%2Ax%2B4%29\"
It becomes \"2%2Ax-highlight_green%28+3%2A4%2Ax+%29-highlight_green%28+3%2A4+%29-10\".
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Look at \"2%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ax-3%2A4-10\".
Multiplied numerator integers
It becomes \"2%2Ax-highlight_green%28+12+%29%2Ax-3%2A4-10\".
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Look at \"2%2Ax-12%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29-10\".
Multiplied numerator integers
It becomes \"2%2Ax-12%2Ax-highlight_green%28+12+%29-10\".
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Look at \"2%2Ax-12%2Ax-highlight_red%28+12+%29-highlight_red%28+10+%29\".
Added fractions or integers together
It becomes \"2%2Ax-12%2Ax%2Bhighlight_green%28+-22+%29\".
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Look at \"2%2Ax-12%2Ax%2Bhighlight_red%28+-22+%29\".
Removed extra sign in front of \"-22\"
It becomes \"2%2Ax-12%2Ax-highlight_green%28+22+%29\".
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Look at \"highlight_red%28+2%2Ax+%29-highlight_red%28+12%2Ax+%29-22\".
Eliminated similar terms \"highlight_red%28+2%2Ax+%29\",\"highlight_red%28+-12%2Ax+%29\" replacing them with \"highlight_green%28+%282-12%29%2Ax+%29\"
It becomes \"highlight_green%28+%282-12%29%2Ax+%29-22\".
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Look at \"%28highlight_red%28+2+%29-highlight_red%28+12+%29%29%2Ax-22\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-10+%29%29%2Ax-22\".
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Look at \"%28highlight_red%28+-10+%29%29%2Ax-22\".
Removed extra sign in front of \"-10\"
It becomes \"%28-highlight_green%28+10+%29%29%2Ax-22\".
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Look at \"highlight_red%28+%28-highlight_red%28+10+%29%29%2Ax+%29-22\".
Remove unneeded parentheses around factor \"highlight_red%28+10+%29\"
It becomes \"-highlight_green%28+10+%29%2Ax-22\".
Result: \"-10%2Ax-22\"
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "2(x - 5) - 3(4x + 4)
\n" ); document.write( "use the distributive property
\n" ); document.write( "do 2 times x minus 2 times 5 minus -3 times 4x plus -3 times 4
\n" ); document.write( "you do the -3 because the \"-\" sign makes it negative\r
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\n" ); document.write( "\n" ); document.write( "2x-10-12x+(-12)
\n" ); document.write( "combine like terms
\n" ); document.write( "-10x-10+-12
\n" ); document.write( "combine like terms
\n" ); document.write( "-10x-22 \n" ); document.write( "
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