Question 1095738
<br>The equation as you show it is
{{{8+x/12+x = 6+x/9+x}}}<br>
But I suspect the equation you want to solve is
{{{(8+x)/(12+x) = (6+x)/(9+x)}}}<br>
The form of the first equation is very unusual; that's why I suspect the second equation might be what was intended.<br>
But both equations have "nice" answers; so either equation might be the intended one.<br>
First option...<br>
{{{8+x/12+x = 6+x/9+x}}}
{{{2 = x/9 - x/12 = 4x/36 - 3x/36 = x/36}}}
{{{x = 72}}}<br>
Second option...<br>
{{{(8+x)/(12+x) = (6+x)/(9+x)}}}
{{{(8+x)(9+x) = (6+x)(12+x)}}}
{{{x^2+17x+72 = x^2+18x+72}}}
{{{17x = 18x}}}
{{{x = 0}}}