document.write( "Question 7770: Can amyone help me figure out this Absolute Value problem:\r
\n" ); document.write( "\n" ); document.write( " 4-3 | x - 2 | = -8\r
\n" ); document.write( "\n" ); document.write( "I'm sure it is simple but it is not so simple for me tonight.\r
\n" ); document.write( "\n" ); document.write( "Please expalin steps to isolate the absolute value.
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Algebra.Com's Answer #4274 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Treat this as though you were solving a regular equation until you come to removing the absolute-value bars.\r
\n" ); document.write( "\n" ); document.write( "4 - 3|x - 2| = -8 Subtract 4 from both sides.\r
\n" ); document.write( "\n" ); document.write( "-3|x - 2| = -12 Divide both sides by -3.\r
\n" ); document.write( "\n" ); document.write( "|x - 2| = 4 Now remove the bars and write two equations:\r
\n" ); document.write( "\n" ); document.write( "x - 2 = 4 and x - 2 = -4 Now, solve each of these for x.\r
\n" ); document.write( "\n" ); document.write( "x - 2 = 4, then x = 6 and x - 2 = -4, then x = -2\r
\n" ); document.write( "\n" ); document.write( "So, you have two solutions: \r
\n" ); document.write( "\n" ); document.write( "x = 6 and
\n" ); document.write( "x = -2\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "x = 6 first: Remember that | 4 | = 4\r
\n" ); document.write( "\n" ); document.write( "4 - 3|6 - 2| = 4 - 3|4| = 4 - 3(4) = 4 - 12 = -8\r
\n" ); document.write( "\n" ); document.write( "now x = -2: Remember that |-4| = 4\r
\n" ); document.write( "\n" ); document.write( "4 - 3|-2-2| = 4 - 3|-4| = 4 - 3(4) = 4 - 12 = -8
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