Question 708666
3|1-5x/3|+5 =9

Add -5 to both sides,
Divide both sides by 3:


{{{abs(1-5x/3)=4/3}}}.


(1-5x/3) may be positive (or zero) or negative.


{{{(1-5x/3)>=0}}} ?
{{{abs(1-5x/3)=1-5x/3=4/3}}},
{{{-5x/3=4/3-1}}}
{{{-5x/3=1/3}}}
{{{x=-1/5}}}


{{{1-5x/3<0}}} ?
{{{abs(1-5x/3)=-(1-5x/3)=4/3}}}
{{{5x/3-1=4/3}}}
{{{5x/3=7/3}}}
{{{x=(3/5)*(7/3)}}}
{{{x=7/5}}}


summary: {{{x=-1/5}}} or {{{x=+7/5}}}