Question 145219
{{{abs(-4x)=32}}} Start with the given equation



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


{{{-4x=-32}}} or {{{-4x=32}}} Set the expression {{{-4x}}} equal to the original value 32 and it's opposite -32





Now lets focus on the first equation  {{{-4x=-32}}}



{{{x=(-32)/(-4)}}} Divide both sides by -4 to isolate x




{{{x=8}}} Divide





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Now lets focus on the second equation {{{-4x=32}}}




{{{x=(32)/(-4)}}} Divide both sides by -4 to isolate x




{{{x=-8}}} Divide






So the solutions to {{{abs(-4x)=32}}} are:


{{{x=8}}} or {{{x=-8}}}