Question 184135


{{{abs(5x)+9=19}}} Start with the given equation



{{{abs(5x)=10}}} Subtract 9 from both sides.



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


{{{5x=-10}}} or {{{5x=10}}} Set the expression {{{5x}}} equal to the original value 10 and it's opposite -10





Now lets focus on the first equation  {{{5x=-10}}}



{{{x=(-10)/(5)}}} Divide both sides by 5 to isolate x




{{{x=-2}}} Divide





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Now lets focus on the second equation {{{5x=10}}}




{{{x=(10)/(5)}}} Divide both sides by 5 to isolate x




{{{x=2}}} Divide






So the solutions are: {{{x=-2}}} or {{{x=2}}}