document.write( "Question 42964: 8(5x-1)+36=-3(x+5) \n" ); document.write( "
Algebra.Com's Answer #28010 by aaaaaaaa(138)\"\" \"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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  • This is an equation! Solutions: x=-1.
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  • Graphical form: Equation \"8%2A%285x-1%29%2B36=-3%2A%28x%2B5%29\" was fully solved.
  • Text form: 8*(5x-1)+36=-3*(x+5) simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+8%2A%285x-1%29%2B36=-3%2A%28x%2B5%29+%29\"
    For tutors: simplify_cartoon( 8*(5x-1)+36=-3*(x+5) )
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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 \"8%2A%285%2Ax-1%29%2B36=highlight_red%28+-3%2A%28x%2B5%29+%29\".
Moved these terms to the left \"highlight_green%28+3%2A%28x%2B5%29+%29\"
It becomes \"8%2A%285%2Ax-1%29%2B36%2Bhighlight_green%28+3%2A%28x%2B5%29+%29=0\".
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Look at \"8%2A%285%2Ax-1%29%2Bhighlight_red%28+36+%29%2B3%2A%28x%2B5%29=0\".
Moved \"36\" to the right of expression
It becomes \"8%2A%285%2Ax-1%29%2B3%2A%28x%2B5%29%2Bhighlight_green%28+36+%29=0\".
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Look at \"highlight_red%28+8%2A%285%2Ax-1%29+%29%2B3%2A%28x%2B5%29%2B36=0\".
Expanded term \"8\" by using associative property on \"%285%2Ax-1%29\"
It becomes \"highlight_green%28+8%2A5%2Ax+%29-highlight_green%28+8%2A1+%29%2B3%2A%28x%2B5%29%2B36=0\".
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Look at \"highlight_red%28+8+%29%2Ahighlight_red%28+5+%29%2Ax-8%2A1%2B3%2A%28x%2B5%29%2B36=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+40+%29%2Ax-8%2A1%2B3%2A%28x%2B5%29%2B36=0\".
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Look at \"40%2Ax-highlight_red%28+8+%29%2Ahighlight_red%28+1+%29%2B3%2A%28x%2B5%29%2B36=0\".
Multiplied numerator integers
It becomes \"40%2Ax-highlight_green%28+8+%29%2B3%2A%28x%2B5%29%2B36=0\".
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Look at \"40%2Ax-highlight_red%28+8+%29%2B3%2A%28x%2B5%29%2Bhighlight_red%28+36+%29=0\".
Added fractions or integers together
It becomes \"40%2Ax%2Bhighlight_green%28+28+%29%2B3%2A%28x%2B5%29=0\".
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Look at \"40%2Ax%2Bhighlight_red%28+28+%29%2B3%2A%28x%2B5%29=0\".
Moved \"28\" to the right of expression
It becomes \"40%2Ax%2B3%2A%28x%2B5%29%2Bhighlight_green%28+28+%29=0\".
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Look at \"40%2Ax%2Bhighlight_red%28+3%2A%28x%2B5%29+%29%2B28=0\".
Expanded term \"3\" by using associative property on \"%28x%2B5%29\"
It becomes \"40%2Ax%2Bhighlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A5+%29%2B28=0\".
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Look at \"40%2Ax%2B3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29%2B28=0\".
Multiplied numerator integers
It becomes \"40%2Ax%2B3%2Ax%2Bhighlight_green%28+15+%29%2B28=0\".
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Look at \"40%2Ax%2B3%2Ax%2Bhighlight_red%28+15+%29%2Bhighlight_red%28+28+%29=0\".
Added fractions or integers together
It becomes \"40%2Ax%2B3%2Ax%2Bhighlight_green%28+43+%29=0\".
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Look at \"highlight_red%28+40%2Ax+%29%2Bhighlight_red%28+3%2Ax+%29%2B43=0\".
Eliminated similar terms \"highlight_red%28+40%2Ax+%29\",\"highlight_red%28+3%2Ax+%29\" replacing them with \"highlight_green%28+%2840%2B3%29%2Ax+%29\"
It becomes \"highlight_green%28+%2840%2B3%29%2Ax+%29%2B43=0\".
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Look at \"%28highlight_red%28+40+%29%2Bhighlight_red%28+3+%29%29%2Ax%2B43=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+43+%29%29%2Ax%2B43=0\".
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Look at \"highlight_red%28+%28highlight_red%28+43+%29%29%2Ax+%29%2B43=0\".
Remove unneeded parentheses around factor \"highlight_red%28+43+%29\"
It becomes \"highlight_green%28+43+%29%2Ax%2B43=0\".
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Look at \"highlight_red%28+43%2Ax%2B43+%29=0\".
Solved linear equation \"highlight_red%28+43%2Ax%2B43=0+%29\" equivalent to 43*x+43 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "By the steps above described, we can simplify the equation to 43x + 43 = 0. It doesn't describe how to solve it, so here it is. Hope you understand everything well.\r
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Solved by pluggable solver: SOLVE a linear equation
Solve \"43%2Ax%2B43=0\". Move 43 to the right: \"43%2Ax=0-43\". Divide by 43: \"x=%280-43%29%2F43=-43%2F43+=+-1\"
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