Question 306953


{{{abs(3x-3)=5}}} Start with the given equation



Break up the absolute value (remember, if you have {{{abs(x)=a}}}, then {{{x=-a}}} or {{{x=a}}})



{{{3x-3=-5}}} or {{{3x-3=5}}} Set the expression {{{3x-3}}} equal to the original value 5 and it's opposite -5



Now lets focus on the first equation  {{{3x-3=-5}}}



{{{3x=-5+3}}}Add 3 to both sides



{{{3x=-2}}} Combine like terms on the right side



{{{x=(-2)/(3)}}} Divide both sides by 3 to isolate x



{{{x=-2/3}}} Reduce



Now lets focus on the second equation {{{3x-3=5}}}



{{{3x=5+3}}}Add 3 to both sides



{{{3x=8}}} Combine like terms on the right side



{{{x=(8)/(3)}}} Divide both sides by 3 to isolate x



{{{x=8/3}}} Reduce



So the solutions are {{{x=-2/3}}} or {{{x=8/3}}}