document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869655>Question 869655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which value of x makes the following equation true?\r<BR>\n" );
document.write( "\n" );
document.write( "7.5(x - 2) = -0.5x + 33\r<BR>\n" );
document.write( "\n" );
document.write( "I am completely lost....<BR>\n" );
document.write( "Thanks  <3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524316 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=524316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x to get\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7.5(x - 2) = -0.5x + 33 ... Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7.5(x)+7.5(-2) = -0.5x + 33 ...  Distribute.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7.5x-15 = -0.5x + 33 ... Multiply.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7.5x = -0.5x + 33+15 ... Add 15 to both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7.5x+0.5x = 33+15 ... Add 0.5x to both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8x = 48 ... Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 48/8 ... Divide both sides by 8 to isolate x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = <font color=\"red\">6</font> ... Divide to get the final answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I recommend checking the answer. You do so by plugging it back into the original equation. You should get the same value on both sides (making a true equation) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );