document.write( "Question 952538: I saw this equation in another's question and I need help solving for x even though I could figure it out mentally. I'd like to see how it is solved mathematically: 5 -(1/6)x = (-2/3) x. So, eliminating the fractions by multiplying by 6 leaves 30 - x = -4X. I can see that x= 10, but I just can't solve it mathematically. I have tried several times, and I'm afraid my work is rather embarrassing. Thank you. \n" ); document.write( "

Algebra.Com's Answer #581720 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+5+-+%281%2F6%29%2Ax+=+-%282%2F3%29%2Ax+\"$
\n" ); document.write( "Try this:
\n" ); document.write( "Multiply both sides by $\"+-6+\"$
\n" ); document.write( " $\"+-30+%2B+x+=+4x+\"$
\n" ); document.write( "Now subtract $\"+x+\"$ from both sides
\n" ); document.write( " $\"+-30+=+3x+\"$
\n" ); document.write( "Divide both sides by $\"+3+\"$
\n" ); document.write( " $\"+-10+=+x+\"$
\n" ); document.write( "---------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+5+-+%281%2F6%29%2Ax+=+-%282%2F3%29%2Ax+\"$
\n" ); document.write( " $\"+5+-+%281%2F6%29%2A%28-10%29+=+-%282%2F3%29%2A%28-10%29+\"$
\n" ); document.write( " $\"+5+%2B+10%2F6+=+20%2F3+\"$
\n" ); document.write( " $\"+30%2F6+%2B+10%2F6+=+40%2F6+\"$
\n" ); document.write( " $\"+40%2F6+=+40%2F6+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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