Question 448102
Divide both sides by 3 to get {{{abs(x-4)=10/3}}}



Now use the idea that {{{abs(x)=y}}} means {{{x=y}}} or {{{x=-y}}} to get the two equations



{{{x-4=10/3}}} or {{{x-4=-10/3}}}



Solving the first equation gives you {{{x=22/3}}}, which you already know how to do.



Solve the second equation {{{x-4=-10/3}}} to get




{{{x-4=-10/3}}}



{{{x=-10/3+4}}}



{{{x=-10/3+4(3/3)}}}



{{{x=-10/3+12/3}}}



{{{x=(-10+12)/3}}}



{{{x=2/3}}}



So the other solution is {{{x=2/3}}}