document.write( "Question 825325: |x+3|-9=2x \n" ); document.write( "
Algebra.Com's Answer #497213 by josgarithmetic(39623)![]() ![]() ![]() You can put this solution on YOUR website! Solve the two equations resulting from x+3>=0 and x+3<0. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+3>=0 gives you |x+3|-9=x+3-9=2x, \n" ); document.write( "-x+-6=0 \n" ); document.write( "x=-6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+3<0 gives you |x+3|-9=-x-3-9=2x, \n" ); document.write( "-x-12=2x \n" ); document.write( "3x=-12 \n" ); document.write( "x=-4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER: x=-6 or x=-4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------- \n" ); document.write( "That answer is not yet finished, since as stanbon has shown, when you recheck x=-6, the statement is false.\r \n" ); document.write( "\n" ); document.write( "|x+3|-9=2x \n" ); document.write( "|-6+3|-9=2(-6) \n" ); document.write( "|-3|-9=-12 \n" ); document.write( "3-9=-12 \n" ); document.write( "-6=-12 \n" ); document.write( " |