document.write( "Question 174557: 3/8 x +5/6=2/3 what value is x? \n" ); document.write( "

Algebra.Com's Answer #129566 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"3%2F8\"$ x + $\"5%2F6\"$ = $\"2%2F3\"$ what value is x?
\n" ); document.write( ":
\n" ); document.write( "Multiply a common multiple of all three denominators, 24:
\n" ); document.write( "24* $\"3%2F8\"$ x + 24* $\"5%2F6\"$ = 24* $\"2%2F3\"$
\n" ); document.write( ":
\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( "3(3x) + 4(5) = 8(2)
\n" ); document.write( ":
\n" ); document.write( "9x + 20 = 16
\n" ); document.write( ":
\n" ); document.write( "9x = 16 - 20
\n" ); document.write( ":
\n" ); document.write( "9x = -4
\n" ); document.write( "x = $\"-4%2F9\"$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation:
\n" ); document.write( " $\"%283%2F8%29%28-4%2F9%29\"$ + $\"5%2F6\"$ = $\"2%2F3\"$
\n" ); document.write( " $\"-3%2F18\"$ + $\"5%2F6\"$ = $\"2%2F3\"$
\n" ); document.write( " $\"-1%2F6\"$ x + $\"5%2F6\"$ = $\"4%2F6\"$ \n" ); document.write( "

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