document.write( "Question 225217: $\"%282%2F3%29%2811x-1%2F6%29-3%2F4=1%2F4\"$ \n" ); document.write( "

Algebra.Com's Answer #168108 by LtAurora(115) $\"\"$ $\"About$

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$\"%282%2F3%29%2811x-1%2F6%29-3%2F4=1%2F4\"$
\n" ); document.write( "First thing to do is move the $\"-3%2F4\"$ to the other side by adding it to both sides:
\n" ); document.write( " $\"%282%2F3%29%2811x-1%2F6%29-3%2F4%2B3%2F4=1%2F4%2B3%2F4\"$
\n" ); document.write( " $\"%282%2F3%29%2811x-1%2F6%29=1\"$
\n" ); document.write( "To get rid of the $\"2%2F3\"$ , multiply both sides by $\"3%2F2\"$
\n" ); document.write( " $\"%283%2F2%29%282%2F3%29%2811x-1%2F6%29=1%283%2F2%29\"$
\n" ); document.write( " $\"%2811x-1%2F6%29=3%2F2\"$
\n" ); document.write( "We can then drop the parentheses and move the $\"-1%2F6\"$ over by adding it to both sides:
\n" ); document.write( " $\"11x-1%2F6%2B1%2F6=3%2F2%2B1%2F6\"$
\n" ); document.write( "We need to get a common denominater on the right side so:
\n" ); document.write( " $\"11x=9%2F6%2B1%2F6\"$
\n" ); document.write( "Then we can combine the right hand side:
\n" ); document.write( " $\"11x=10%2F6\"$
\n" ); document.write( " $\"11x=5%2F3\"$
\n" ); document.write( "Next we need to divide both sides by 11:
\n" ); document.write( " $\"11x%2F11=5%2F3%2A%281%2F11%29\"$
\n" ); document.write( "(Multiplying by $\"1%2F11\"$ is the same thing as dividing by 11.)
\n" ); document.write( "So:
\n" ); document.write( " $\"x=5%2F33\"$
\n" ); document.write( "When plugged back into the original equation, this checks out and gives us $\"1%2F4\"$ back. \n" ); document.write( "

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