Question 722202
Divide both sides by 3.  Examine conditions that the expression in the absolute value is positive and the expression in the absolute value is negative.  Treat each condition separately.  


|3-6x|=15
3|1-2x|=15
|1-2x|=5


If {{{1-2x<0}}} Then {{{-(1-2x)=5}}}
{{{2x-1=5}}}
{{{2x=4}}}
{{{x=2}}}


If {{{1-2x>=0}}} Then {{{1-2x=5}}}
{{{1-5=2x}}}
{{{-4=2x}}}
{{{x=-2}}}