Question 281737


{{{abs(x-6)=2}}} Start with the given equation



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


{{{x-6=-2}}} or {{{x-6=2}}} Set the expression {{{x-6}}} equal to the original value 2 and it's opposite -2





Now lets focus on the first equation  {{{x-6=-2}}}



{{{x=-2+6}}}Add 6 to both sides



{{{x=4}}} Combine like terms on the right side





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Now lets focus on the second equation {{{x-6=2}}}




{{{x=2+6}}}Add 6 to both sides



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






So the solutions to {{{abs(x-6)=2}}} are:


{{{x=4}}} and {{{x=8}}}