Question 602551

{{{2*abs(x+3)-1=7}}} Start with the given equation



{{{2*abs(x+3)=8}}} Add 1 to both sides.



{{{abs(x+3)=4}}} Divide both sides by 2




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


{{{x+3=-4}}} or {{{x+3=4}}} Set the expression {{{x+3}}} equal to the original value 4 and it's opposite -4





Now lets focus on the first equation  {{{x+3=-4}}}



{{{x=-4-3}}}Subtract 3 from both sides



{{{x=-7}}} Combine like terms on the right side


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Now lets focus on the second equation {{{x+3=4}}}




{{{x=4-3}}}Subtract 3 from both sides



{{{x=1}}} Combine like terms on the right side






So the solutions to {{{2*abs(x+3)-1=7}}} are:


{{{x=-7}}} or {{{x=1}}}