Question 184133


{{{abs(4x+2)=6}}} Start with the given equation



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


{{{4x+2=-6}}} or {{{4x+2=6}}} Set the expression {{{4x+2}}} equal to the original value 6 and it's opposite -6





Now lets focus on the first equation  {{{4x+2=-6}}}



{{{4x=-6-2}}}Subtract 2 from both sides



{{{4x=-8}}} Combine like terms on the right side



{{{x=(-8)/(4)}}} Divide both sides by 4 to isolate x




{{{x=-2}}} Divide





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Now lets focus on the second equation {{{4x+2=6}}}




{{{4x=6-2}}}Subtract 2 from both sides



{{{4x=4}}} Combine like terms on the right side



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




{{{x=1}}} Divide






So the solutions are: {{{x=-2}}} or {{{x=1}}}