document.write( "Question 494139: Solve the equation. Check for extraneous solutions.\r
\n" ); document.write( "\n" ); document.write( "4|5-6x|=3x+4 \n" ); document.write( "
Algebra.Com's Answer #336019 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation. Check for extraneous solutions.
\n" ); document.write( "4|5-6x|=3x+4
\n" ); document.write( "**
\n" ); document.write( "solve for two conditions:
\n" ); document.write( "4|5-6x|=3x+4
\n" ); document.write( "4(5-6x)=3x+4
\n" ); document.write( "20-24x=3x+4
\n" ); document.write( "27x=16
\n" ); document.write( "x=16/27
\n" ); document.write( "..
\n" ); document.write( "4*-(5-6x)=3x+4
\n" ); document.write( "-20+24x=3x+4
\n" ); document.write( "21x=24
\n" ); document.write( "x=24/21
\n" ); document.write( "solution: x=16/27 or 24/21\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "Check:
\n" ); document.write( "For x=16/27
\n" ); document.write( "4|5-6x|=3x+4
\n" ); document.write( "4|5-6*16/27|=3*16/27+4
\n" ); document.write( "5.778=5.778
\n" ); document.write( "..
\n" ); document.write( "for x=24/21
\n" ); document.write( "4|5-6x|=3x+4
\n" ); document.write( "4|5-6*24/21|=3*24/21+4
\n" ); document.write( "7.4286=7.4286
\n" ); document.write( "..
\n" ); document.write( "Check ok, no extraneous solutions.
\n" ); document.write( "solution: x=16/27 or 24/21 \n" ); document.write( "
\n" );