SOLUTION: Please help soving absolute value equations. Thanks absoute value(4X+2)=6

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Question 184133: Please help soving absolute value equations. Thanks
absoute value(4X+2)=6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%284x%2B2%29=6 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

4x%2B2=-6 or 4x%2B2=6 Set the expression 4x%2B2 equal to the original value 6 and it's opposite -6




Now lets focus on the first equation 4x%2B2=-6


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


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


x=%28-8%29%2F%284%29 Divide both sides by 4 to isolate x



x=-2 Divide






Now lets focus on the second equation 4x%2B2=6



4x=6-2Subtract 2 from both sides


4x=4 Combine like terms on the right side


x=%284%29%2F%284%29 Divide both sides by 4 to isolate x



x=1 Divide





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