Question 222847
{{{x/2 - 3=x/3-2}}}


The LCD is 6, so multiply both sides by 6.


{{{6*x/2 - 6* 3=6*x/3-6*2}}}
{{{3x - 18= 2x - 12}}}


Subtract 2x from each side:
{{{x-18= -12}}}


Add +18 to each side:
{{{x-18+18= -12+18}}}
{{{x=6}}}


Check:  
{{{x/2 - 3=x/3-2}}}
{{{6/2 - 3=6/3-2}}}
{{{3-3=2-2}}}   
It checks!!


R^2


Dr. Robert J. Rapalje, Retired
Seminole State College
Altamonte Springs Campus