document.write( "Question 475407: |5-3x+|3x+1||-4=-2x \n" ); document.write( "
Algebra.Com's Answer #328006 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
|5-3x+|3x+1||-4=-2x
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\n" ); document.write( "check first possible true condition: expressions within the bars are>0, so just remove the bars and solve like a regular equation:
\n" ); document.write( "5-3x+3x+1-4=-2x
\n" ); document.write( "2x=-2
\n" ); document.write( "x=-1
\n" ); document.write( "check: |5-3x+|3x+1||-4=-2x
\n" ); document.write( "=|5+3+|-3+1||-4+2x=0
\n" ); document.write( "=|5+3-3+1|-4-2
\n" ); document.write( "=6-4-2=0
\n" ); document.write( "..
\n" ); document.write( "check second possible true condition: expressions within the bars are<0, so place a negative sign in front of the expressions before removing the bars then solve like a regular equation:
\n" ); document.write( "|5-3x+|3x+1||-4=-2x
\n" ); document.write( "-[5-3x-(3x+1)]-4=-2x
\n" ); document.write( "-[5-3x-3x-1]-4=-2x
\n" ); document.write( "-5+3x+3x+1-4=-2x
\n" ); document.write( "6x-8=-2x
\n" ); document.write( "8x=8
\n" ); document.write( "x=1
\n" ); document.write( "Check:
\n" ); document.write( "|5-3x+|3x+1||-4=-2x
\n" ); document.write( "=|5-3+4|-4+2x=0
\n" ); document.write( "=6-4+2=4≠0
\n" ); document.write( "reject, x=1 is not a solution
\n" ); document.write( "x=-1 is the only solution \n" ); document.write( "
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