document.write( "Question 84879: If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number. Find the number.
\n" ); document.write( "I set it up like x/6 +2x = x-8, but when I check it it doesn't equal. \n" ); document.write( "

Algebra.Com's Answer #61162 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Your initial set-up is quite ok!
\n" ); document.write( " $\"x%2F6+%2B+2x+=+x-8\"$ Simplify by multiplying through by 6.
\n" ); document.write( " $\"x+%2B+12x+=+6x-48\"$ Combine like-terms.
\n" ); document.write( " $\"13x+=+6x-48\"$ Subtract 6x from both sides.
\n" ); document.write( " $\"7x+=+-48\"$ Finally, divide both sides by 7.
\n" ); document.write( " $\"x+=+-48%2F7\"$ \r
\n" ); document.write( "\n" ); document.write( "Check: Substitute $\"x+=+-48%2F7\"$
\n" ); document.write( " $\"%28-48%2F7%29%2F6+%2B+2%28-48%2F7%29+=+%28-48%2F7%29-8\"$ Simplify.
\n" ); document.write( " $\"-8%2F7+-+96%2F7+=+-48%2F7+-+56%2F7\"$
\n" ); document.write( " $\"-104%2F7+=+-104%2F7\"$ It checks!\r
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