document.write( "Question 990842: 3|4x+1|-4=2
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #610842 by ikleyn(52795) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Solve the equation   3|4x+1|-4=2.
\n" ); document.write( "---------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Re-write it as   |4x+1| = $\"%282+%2B+4%29%2F3\"$ = 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If |4x+1| >= 0, then |4x+1| = 4x+1, and the equation takes the form\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x+1 = 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve it:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x = 2-1,   4x = 1,   x = $\"1%2F4\"$ .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If |4x+1| < 0, then |4x+1| = -(4x+1), and the equation takes the form\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-4x-1 = 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve it:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-4x = 2+1,   4x = -3,   x = $\"-3%2F4\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check yourself that both solutions are correct.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer. x = $\"1%2F4\"$ and x = $\"-3%2F4\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );