Question 910983
(Your list of equations was rearranged in the question-composition field so each could be seen and read clearly.)



Each of those is in almost the same format.


I pick just the last one, and you should know how to then handle the others.


{{{abs(x+1/3)=5/3}}}


Either x+1/3 NONZERO or x+1/3 LESS-THAN ZERO.



x+1/3>=0:
{{{abs(x+1/3)=5/3}}}
{{{x+1/3=5/3}}}
{{{x=5/3-1/3}}}
{{{highlight(x=4/3)}}}


x+1/3<0:
{{{abs(x+1/3)=5/3}}}
{{{-x-1/3=5/3}}}
{{{-x=5/3+1/3}}}
{{{-x=6/3=2}}}
{{{highlight(x=-2)}}}


You might want to check both of these to be sure each of them works in the original equation.