document.write( "Question 18992: 10x+17=4x-1 \n" ); document.write( "
Algebra.Com's Answer #9125 by Alwayscheerful(414)\"\" \"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=-3.
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  • Graphical form: Equation \"10x%2B17=4x-1\" was fully solved.
  • Text form: 10x+17=4x-1 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+10x%2B17=4x-1+%29\"
    For tutors: simplify_cartoon( 10x+17=4x-1 )
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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 \"10%2Ax%2B17=highlight_red%28+4%2Ax-1+%29\".
Moved these terms to the left \"highlight_green%28+-4%2Ax+%29\",\"highlight_green%28+1+%29\"
It becomes \"10%2Ax%2B17-highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+1+%29=0\".
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Look at \"10%2Ax%2Bhighlight_red%28+17+%29-4%2Ax%2Bhighlight_red%28+1+%29=0\".
Added fractions or integers together
It becomes \"10%2Ax%2Bhighlight_green%28+18+%29-4%2Ax=0\".
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Look at \"10%2Ax%2Bhighlight_red%28+18+%29-4%2Ax=0\".
Moved \"18\" to the right of expression
It becomes \"10%2Ax-4%2Ax%2Bhighlight_green%28+18+%29=0\".
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Look at \"highlight_red%28+10%2Ax+%29-highlight_red%28+4%2Ax+%29%2B18=0\".
Eliminated similar terms \"highlight_red%28+10%2Ax+%29\",\"highlight_red%28+-4%2Ax+%29\" replacing them with \"highlight_green%28+%2810-4%29%2Ax+%29\"
It becomes \"highlight_green%28+%2810-4%29%2Ax+%29%2B18=0\".
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Look at \"%28highlight_red%28+10+%29-highlight_red%28+4+%29%29%2Ax%2B18=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+6+%29%29%2Ax%2B18=0\".
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Look at \"highlight_red%28+%28highlight_red%28+6+%29%29%2Ax+%29%2B18=0\".
Remove unneeded parentheses around factor \"highlight_red%28+6+%29\"
It becomes \"highlight_green%28+6+%29%2Ax%2B18=0\".
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Look at \"highlight_red%28+6%2Ax%2B18+%29=0\".
Solved linear equation \"highlight_red%28+6%2Ax%2B18=0+%29\" equivalent to 6*x+18 =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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