Question 111101
{{{(3/4)x =(2/3)/(5/6x)}}}-{{{ 3/4}}}

{{{(3/4)x = 2*6x/3*5}}} – {{{3/4}}}

{{{(3/4)x = 12x/15}}} – {{{3/4}}}……….LCD for {{{4}}} and {{{15}}} is {{{4*15 = 60}}}, 

multiply both sides by {{{60}}}

{{{(3/4)*60x = 12x*60/15 }}}– {{{(3/4)*60}}}……….


{{{3*15x = 12x*4}}} – {{{(3*15)}}}……….divide both sides by {{{3}}}

{{{15x = 16x – 15}}}……….move {{{15x}}} to the right and {{{- 15}}} to the left


{{{15 = 16x – 15x}}}……….
{{{15 = x}}}……….

Your answer is:

{{{x = 15}}}