document.write( "Question 43828: Solve. -3 (10x-3) + 10 (3x-3) = x-7
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Algebra.Com's Answer #28777 by tutorcecilia(2152)\"\" \"About 
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First, distribute the -3 and the 10:
\n" ); document.write( "-3 (10x-3) + 10 (3x-3) = x-7\r
\n" ); document.write( "\n" ); document.write( "-30x + 9 + 30x - 30 = x-7
\n" ); document.write( "Combine like-terms:
\n" ); document.write( "-30x + 30x + 9 - 30 = x - 7
\n" ); document.write( "Simplify:
\n" ); document.write( "-21 = x - 7
\n" ); document.write( "Solve for x
\n" ); document.write( "-21 + 7 = x - 7 + 7
\n" ); document.write( "-14 = x
\n" ); document.write( ".
\n" ); document.write( "Check by plugging x=-14 back into the original equation:
\n" ); document.write( "-3 (10(-14)-3) + 10 (3(-14)-3) = (-14)-7
\n" ); document.write( "Simplify and solve:
\n" ); document.write( "-3 (-140-3) + 10 (-42 - 3) = -21
\n" ); document.write( "-3 (-140-3) + 10 (-42 - 3) = -21
\n" ); document.write( "-3 (-143) + 10 (-45) = -21
\n" ); document.write( "-3 (-143) + 10 (-45) = -21
\n" ); document.write( "429 + (-450) = -21
\n" ); document.write( "-21 = -21 The answer checks out.\r
\n" ); document.write( "\n" ); document.write( "If you need additional one-on-one math help, feel free to e-mail your problems to tutorcecilia@yahoo.com
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