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Start with the given equation
Break up the absolute value (remember, if you have
, then
or
)
or
Set the expression
equal to the original value 6 and it's opposite -6
Now lets focus on the first equation
Subtract 2 from both sides
Combine like terms on the right side
Divide both sides by 4 to isolate x
Divide
Now lets focus on the second equation
Subtract 2 from both sides
Combine like terms on the right side
Divide both sides by 4 to isolate x
Divide
So the solutions are:
or
(