Question 118331


{{{abs(x-4)=9}}} Start with the given equation



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


{{{x-4=-9}}} or {{{x-4=9}}} Set the expression {{{x-4}}} equal to the original value 9 and it's opposite -9





Now lets focus on the first equation  {{{x-4=-9}}}



{{{x=-9+4}}}Add 4 to both sides



{{{x=-5}}} Combine like terms on the right side





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Now lets focus on the second equation {{{x-4=9}}}




{{{x=9+4}}}Add 4 to both sides



{{{x=13}}} Combine like terms on the right side




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Answer:


So our answers are:


{{{x=-5}}} or {{{x=13}}}