document.write( "Question 116438: So there is this problem that I have for homework that says \"Solve 6(x-6)+6=8(x+2)-8. I'm not sure if I should solve for x. For a problem like this, is using FOIL the best method? \n" ); document.write( "
Algebra.Com's Answer #84656 by ankor@dixie-net.com(22740)\"\" \"About 
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\"Solve 6(x-6)+6=8(x+2)-8.
\n" ); document.write( ":
\n" ); document.write( "Just multiply what's inside the brackets, combine like terms
\n" ); document.write( "6x - 36 + 6 = 8x + 16 - 8
\n" ); document.write( "6x - 30 = 8x + 8
\n" ); document.write( ":
\n" ); document.write( "Combine the unknowns (x) on the left, and numerical values on the right
\n" ); document.write( "6x - 8x = 8 + 30
\n" ); document.write( "-2x = 38
\n" ); document.write( ":
\n" ); document.write( "x has to be positive, multiply equation by -1:
\n" ); document.write( "2x = -38
\n" ); document.write( "x = -38/2
\n" ); document.write( "x = -19
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution, substitute -19 for x in the original equation:
\n" ); document.write( "6(x-6) + 6 = 8(x+2)- 8.
\n" ); document.write( "6(-19-6) + 6 = 8(-19+2) - 8
\n" ); document.write( "6(-25) + 6 = 8(-17) - 8
\n" ); document.write( "-150 + 6 = -136 - 8
\n" ); document.write( "-144 = -144; equality reigns confirming our solution
\n" ); document.write( ":
\n" ); document.write( "FOIL is not used in this type of problem \n" ); document.write( "
\n" );