Question 275281


{{{3*abs(-8x-9)=117}}} Start with the given equation



{{{abs(-8x-9)=39}}} Divide both sides by 3




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


{{{-8x-9=-39}}} or {{{-8x-9=39}}} Set the expression {{{-8x-9}}} equal to the original value 39 and it's opposite -39





Now lets focus on the first equation  {{{-8x-9=-39}}}



{{{-8x=-39+9}}}Add 9 to both sides



{{{-8x=-30}}} Combine like terms on the right side



{{{x=(-30)/(-8)}}} Divide both sides by -8 to isolate x




{{{x=15/4}}} Reduce





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Now lets focus on the second equation {{{-8x-9=39}}}




{{{-8x=39+9}}}Add 9 to both sides



{{{-8x=48}}} Combine like terms on the right side



{{{x=(48)/(-8)}}} Divide both sides by -8 to isolate x




{{{x=-6}}} Divide






So the solutions to {{{3*abs(-8x-9)=117}}} are:


{{{x=15/4}}} and {{{x=-6}}}