document.write( "Question 834309: If 24 is subtracted from three times a certain number, the result is 3/2 the original number. What is the number? \n" ); document.write( "
Algebra.Com's Answer #502933 by Theo(13342)\"\" \"About 
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3x - 24 = 3/2
\n" ); document.write( "add 24 to both sides of the equation to get:
\n" ); document.write( "3x = 24 + 3/2
\n" ); document.write( "divide both sides of the equation by 3 to get
\n" ); document.write( "x = (24 + 3/2) / 3
\n" ); document.write( "multiply the right side of the equation by 2/2 to get:
\n" ); document.write( "x = (24 + 3/2)*2 / (3 * 2)
\n" ); document.write( "distribute the multiplkication in the numerator to get:
\n" ); document.write( "x = (24*2 + (3/2)*2 / (3*2)
\n" ); document.write( "simplify to get:
\n" ); document.write( "x = (48 + 3) / 6
\n" ); document.write( "simplify further to get:
\n" ); document.write( "x = 51 / 6
\n" ); document.write( "since that doesn't appear that it can be simplified further, then that should be your answer.
\n" ); document.write( "to confirm, substitute for x in the original equation to get:
\n" ); document.write( "3 * (51/6) - 24 = 3/2
\n" ); document.write( "add 24 to both sides of this equation to get:
\n" ); document.write( "3 * (51/6) = 24 + 3/2
\n" ); document.write( "simplify to get:
\n" ); document.write( "51/2 = 24 + 3/2
\n" ); document.write( "convert the improper fraction on the left side of this equation to a mixed fraction to get:
\n" ); document.write( "24 + 3/2 = 24 + 3/2 confirming the solution is good.
\n" ); document.write( "your answer is x = 51/6.\r
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