document.write( "Question 210891This question is from textbook
\n" ); document.write( ": Solve and Check\r
\n" ); document.write( "\n" ); document.write( "3[x-(2-x)-2x]=3(4-x).\r
\n" ); document.write( "\n" ); document.write( "Im getting confused on what operation to start on first. If you can please help me and explain the problem i would really appreciate it. Thank you!
\n" ); document.write( "

Algebra.Com's Answer #159322 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
3[x-(2-x)-2x]=3(4-x) ... Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x-3%282-x%29-6x=3%284-x%29\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x-6%2B3x-6x=12-3x\" Distribute again.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-6=12-3x\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-6-12=-3x\" Subtract 12 from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-18=-3x\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-18%2F%28-3%29=x\" Divide both sides by -3 to isolate 'x'.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6=x\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=6\" Rearrange the equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solution is \"x=6\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3[x-(2-x)-2x]=3(4-x) ... Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3[6-(2-6)-2*6]=3(4-6) ... Plug in \"x=6\" (ie replace each 'x' with 6)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3[6-(2-6)-12]=3(4-6) ... Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3[6-(-4)-12]=3(-2) ... Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3[6+4-12]=3(-2) ... Rewrite -(-4) as +4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3[-2]=3(-2) ... Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-6=-6 ... Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since the equation is true, this verifies the solution \"x=6\"
\n" ); document.write( "
\n" );