Question 1137741
{{{ 12/6 + 12/( 6 + x ) = 10/3 }}}
{{{ 12*( 1/6 + 1/( 6 + x ) ) = 10/3 }}}
{{{ 1/6 + 1/( 6 + x ) = 5/18 }}}
Multiply both sides by {{{ 18*( 6 + x ) }}}
{{{ 3*( 6 + x ) + 18 = 5*( 6 + x ) }}}
{{{ 2*( x + 6 ) = 18 }}}
{{{ x + 6 = 9 }}}
{{{ x = 3 }}}
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check:
{{{ 12/6 + 12/( 6 + 3 ) = 10/3 }}}
{{{ 18/9 + 12/9 = 30/9 }}}
{{{ 30/9 = 30/9 }}}
OK