Question 466261
<pre>
{{{5/x=10/(3x)+4}}}

To verify that {{{x=5/12}}}, substitute {{{5/12}}} for x in {{{5/x=10/(3x)+4}}}

{{{5/(5/12)=10/(3(5/12))+4}}}

Rewrite {{{5/(5/12)}}} as {{{5}}}{{{"÷"}}}{{{5/12}}} 
Rewrite the denominator on the right {{{3(5/12)}}} as {{{15/12}}} or {{{5/4}}}

{{{5}}}{{{"÷"}}}{{{5/12}}}{{{""=""}}}{{{10/(5/4)}}}{{{""+""}}}{{{4}}}

Rewrite {{{10/(5/4)}}} as {{{10}}}{{{"÷"}}}{{{5/4}}}

{{{5}}}{{{"÷"}}}{{{5/12}}}{{{""=""}}}{{{"("}}}{{{10}}}{{{"÷"}}}{{{5/4}}}{{{")"}}}{{{""+""}}}{{{4}}}

Invert and multiply:

{{{5*expr(12/5)}}}{{{""=""}}}{{{10*expr(4/5)}}}{{{""+""}}}{{{4}}}

{{{12}}}{{{""=""}}}{{{8}}}{{{""+""}}}{{{4}}}

{{{12}}}{{{""=""}}}{{{12}}}

Edwin</pre>