document.write( "Question 658150: My problem is Absolute Value Equations- Variables on Both Sides.I don't know how to solve the equation. Here is my problem: |x-2|=3x+1.
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Algebra.Com's Answer #410223 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
|x-2|=3x+1
\n" ); document.write( "Case 1:
\n" ); document.write( "x-2 = 3x+1
\n" ); document.write( "2x = -3
\n" ); document.write( "x = -3/2
\n" ); document.write( "----
\n" ); document.write( "Check:
\n" ); document.write( "|-3/2 - 2| = 3*(-3/2) + 1
\n" ); document.write( "|-7/2| = -9/2 + 1 = -7/2
\n" ); document.write( "7/2 = -7/2
\n" ); document.write( "That doesn't work, reject it.
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\n" ); document.write( "Case 2:
\n" ); document.write( "-(x-2) = 3x+1
\n" ); document.write( "2-x = 3x+1
\n" ); document.write( "4x = 1
\n" ); document.write( "x = 1/4
\n" ); document.write( "---
\n" ); document.write( "Check:
\n" ); document.write( "|1/4 - 2| = 3*(1/4) + 1
\n" ); document.write( "|-7/4 | = 7/4
\n" ); document.write( "That's ok
\n" ); document.write( "x = 1/4\r
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