document.write( "Question 361933: |3X+4|=|2X-3| \n" ); document.write( "
Algebra.Com's Answer #257985 by CharlesG2(834)\"\" \"About 
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|3X+4|=|2X-3|\r
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\n" ); document.write( "\n" ); document.write( "3x + 4 = 2x - 3
\n" ); document.write( "3x - 2x = -3 - 4
\n" ); document.write( "x = -7
\n" ); document.write( "or
\n" ); document.write( "3x + 4 = -(2x - 3)
\n" ); document.write( "3x + 4 = 3 - 2x
\n" ); document.write( "3x + 2x = 3 - 4
\n" ); document.write( "5x = -1
\n" ); document.write( "x = -1/5
\n" ); document.write( "or
\n" ); document.write( "-(3x + 4) = 2x - 3
\n" ); document.write( "-3x - 4 = 2x - 3
\n" ); document.write( "-3x - 2x = -3 + 4
\n" ); document.write( "-5x = 1
\n" ); document.write( "x = -1/5
\n" ); document.write( "or
\n" ); document.write( "-(3x + 4) = -(2x - 3)
\n" ); document.write( "-3x - 4 = 3 - 2x
\n" ); document.write( "-3x + 2x = 3 + 4
\n" ); document.write( "-x = 7
\n" ); document.write( "x = -7\r
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\n" ); document.write( "\n" ); document.write( "answers x = -1/5 and x = -7
\n" ); document.write( "check: |3X+4|=|2X-3|
\n" ); document.write( "|3(-1/5) + 4| = |2(-1/5) - 3|
\n" ); document.write( "|-3/5 + 4| = |-2/5 - 3|
\n" ); document.write( "|-3/5 + 20/5| = |-2/5 - 15/5|
\n" ); document.write( "|17/5| = |-17/5|
\n" ); document.write( "17/5 = 17/5, yes
\n" ); document.write( "or
\n" ); document.write( "|3(-7) + 4| = |2(-7) - 3|
\n" ); document.write( "|-21 + 4| = |-14 - 3|
\n" ); document.write( "|-17| = |-17|
\n" ); document.write( "17 = 17, yes \n" ); document.write( "
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