Question 118682


{{{abs(x+7)+5=17}}} Start with the given equation



{{{abs(x+7)=12}}} Subtract 5 from both sides.



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


{{{x+7=-12}}} or {{{x+7=12}}} Set the expression {{{x+7}}} equal to the original value 12 and it's opposite -12





Now lets focus on the first equation  {{{x+7=-12}}}



{{{x=-12-7}}}Subtract 7 from both sides



{{{x=-19}}} Combine like terms on the right side


So our first solution is {{{x=-19}}} 



<hr>


Now lets focus on the second equation {{{x+7=12}}}



{{{x=12-7}}}Subtract 7 from both sides



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



So our second solution is {{{x=5}}} 




So this means the answer is {{{x=-19}}} or {{{x=5}}} which means the answer is A)