Question 174190

{{{abs(x+142)=81}}} Start with the given equation



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


{{{x+142=-81}}} or {{{x+142=81}}} Set the expression {{{x+142}}} equal to the original value 81 and it's opposite -81





Now lets focus on the first equation  {{{x+142=-81}}}



{{{x=-81-142}}}Subtract 142 from both sides



{{{x=-223}}} Combine like terms on the right side





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Now lets focus on the second equation {{{x+142=81}}}




{{{x=81-142}}}Subtract 142 from both sides



{{{x=-61}}} Combine like terms on the right side






So the solutions are:


{{{x=-223}}} or {{{x=-61}}}