document.write( "Question 378593: can you please help me with this define avariable write an equation and solve each problem:one half of a number decreased by two thirds is two less than one fifth of the number find the number \n" ); document.write( "
Algebra.Com's Answer #269307 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let x = \"the number\"
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\n" ); document.write( "Write an equation just as it says:
\n" ); document.write( "\"one half of a number decreased by two thirds is two less than one fifth
\n" ); document.write( " of the number find the number
\n" ); document.write( "\"1%2F2\"x - \"2%2F3\" = \"1%2F5\"x - 2
\n" ); document.write( "If we multiply equation by 30, we can get rid of those annoying fractions, results:
\n" ); document.write( "15x - 20 = 6x - 30(2)
\n" ); document.write( "15x = 6x - 60 + 20
\n" ); document.write( "15x - 6x = -60 + 20
\n" ); document.write( "9x = -40
\n" ); document.write( "x = \"%28-40%29%2F9\"
\n" ); document.write( "x = -4.44, a rather disappointing number, see if it works in the original equation
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\n" ); document.write( "\"1%2F2\"(-4.44) - \"2%2F3\" = \"1%2F5\"(-4.44) - 2
\n" ); document.write( "-2.22 - .67 = -.89 - 2
\n" ); document.write( "-2.89 = -2.89; so I guess x = -4.44 is the solutions\r
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