document.write( "Question 333582: I have to solve the equation below. It is a multiple choice question so I also listed them below.\r
\n" ); document.write( "\n" ); document.write( "Equation: 1/6 the absolute value of 4x-8 = 6x\r
\n" ); document.write( "\n" ); document.write( "Multiple choice answers: A x=8/3, x=8/5 B no solution C x=1/5 D x=-7, x=11\r
\n" ); document.write( "\n" ); document.write( "First I multiplied both sides by 6 to eliminate the 1/6 on the right side and made the left side 36x. Then I split the equation into 2 so that the first equation was:4x-8=36x and the second one was 4x-8=-36x. Next, on the first problem, I subtracted 4x from both sides so it was -8=32x, then I divided both sides by 32 to isolate x and got -8/32=x which I simplified into x=-1/4. On the second problem I added 8 to both sides and subtracted 36x from both sides to get 40x=8. Then, I divided both sides by 40 to isolate x and got x=8/40 or x=1/5. My question is: which answer should I choose and is my algebra correct or did I make a mistake?
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Algebra.Com's Answer #239017 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"1%2F6\"$ $\"abs%284x-8%29\"$ $\"%22%22=%22%22\"$ $\"6x\"$
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document.write( "Therefore your work is correct.\r\n" );
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document.write( "To find out if these are solutions substitute them into the \r\n" );
document.write( "original equation.\r\n" );
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document.write( "Substituting  in the original\r\n" );
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document.write( "Certainly that's false, so  is an extraneous solution,\r\n" );
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document.write( "which we discard.\r\n" );
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document.write( "Substituting  in the original\r\n" );
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document.write( "That one checks, so the only solution is \r\n" );
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document.write( "Edwin

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