document.write( "Question 1035404: When 10 Is Subtracted From Three Times The Sum Of A Number And 4 , The Result Is 3 Less Than That Number. Find The Number \n" ); document.write( "

Algebra.Com's Answer #650044 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "When 10 Is Subtracted From Three Times
\n" ); document.write( "the Sum Of A Number And 4 , The Result
\n" ); document.write( "Is 3 Less Than That Number.
\n" ); document.write( "Make x = the number.
\n" ); document.write( "3(x + 4) - 10 = x - 3
\n" ); document.write( "3x + 12 - 10 = x - 3
\n" ); document.write( "Collect like terms:
\n" ); document.write( "3x - x = -3 - 12 + 10
\n" ); document.write( "2x = -5
\n" ); document.write( "x = -5/2 or -2.5
\n" ); document.write( "Proof:
\n" ); document.write( "3(x + 4) - 10 = x - 3
\n" ); document.write( "3(-5/2 + 4) - 10 = -5/2 - 3
\n" ); document.write( "3(3/2) - 10 = -5/2 - 6/2
\n" ); document.write( "9/2 - 10 = -11/2
\n" ); document.write( "9/2 - 20/2 = -11/2
\n" ); document.write( "-11/2 = -11/2
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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