document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244891>Question 244891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve the equation.3(x+2)-(3x+6)=0<BR>\n" );
document.write( "5(2z-3)=9(z+2),8x-(3x-1)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179030 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> PROBLEM NUMBER 1\r<BR>\n" );
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document.write( "3(x+2)-(3x+6)=0\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "3x + 6 - 3x - 6 = 0\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "0 = 0\r<BR>\n" );
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document.write( "this is an identity equation.\r<BR>\n" );
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document.write( "since x dropped out of the equation and the equation is true (0 does equal 0) then x can be any value.\r<BR>\n" );
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document.write( "try x = 3\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "3(x+2)-(3x+6)=0 becomes:\r<BR>\n" );
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document.write( "3(3+2) - (9+6) = 0 becomes:\r<BR>\n" );
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document.write( "3*5 - 15 = 0 becomes\r<BR>\n" );
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document.write( "15 - 15 = 0 which is true.\r<BR>\n" );
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document.write( "let x = 7\r<BR>\n" );
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document.write( "3(x+2)-(3x+6)=0 becomes:\r<BR>\n" );
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document.write( "3(7+2) - (21+6) = 0 becomes:\r<BR>\n" );
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document.write( "3*9 - 27 = 0 becomes:\r<BR>\n" );
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document.write( "27 - 27 = 0 which is true.\r<BR>\n" );
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document.write( "doesn't matter what value of x you use, the equation will be true.\r<BR>\n" );
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document.write( "PROBLEM NUMBER 2\r<BR>\n" );
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document.write( "5(2z-3)=9(z+2)\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "10z - 15 = 9z + 18\r<BR>\n" );
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document.write( "subtract 9z from both sides of the equation and add 15 to both sides of the equation to get:\r<BR>\n" );
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document.write( "10z - 9z = 18 + 15\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "z = 33\r<BR>\n" );
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document.write( "substitute in original equation to get:\r<BR>\n" );
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document.write( "5(2z-3)=9(z+2) becomes:\r<BR>\n" );
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document.write( "5*(2*33-3) = 9*(33+2) becomes:\r<BR>\n" );
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document.write( "5*(66-3) = 9*35 becomes\r<BR>\n" );
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document.write( "5*63 = 9*35 becomes:\r<BR>\n" );
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document.write( "315 = 315 which is true so the answer of z = 33 is good.\r<BR>\n" );
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document.write( "PROBLEM NUMBER 3\r<BR>\n" );
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document.write( "8x-(3x-1)=2\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "8x - 3x + 1 = 2\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "5x + 1 = 2\r<BR>\n" );
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document.write( "subtract 1 from both sides to get:\r<BR>\n" );
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document.write( "5x = 2 - 1\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "5x = 1\r<BR>\n" );
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document.write( "divide both sides by 5 to get:\r<BR>\n" );
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document.write( "x = 1/5\r<BR>\n" );
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document.write( "substitute in original equation to get:\r<BR>\n" );
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document.write( "8x-(3x-1)=2 becomes:\r<BR>\n" );
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document.write( "8*(1/5) - ((3*(1/5)) - 1) = 2\r<BR>\n" );
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document.write( "simplify by performing indicated operations to get:\r<BR>\n" );
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document.write( "8/5 - ((3/5) - 1)) = 2\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "8/5 - 3/5 + 1 = 2\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "5/5 + 1 = 2\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "1 + 1 = 2 which is true so the answer of x = 1/5 is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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