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-|3x|+6=0
Swap sides so that all variable terms are on the left hand side.
-|3x|=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
|3x|=\frac{-6}{-1}
Divide both sides by -1.
|3x|=6
Fraction \frac{-6}{-1} can be simplified to 6 by removing the negative sign from both the numerator and the denominator.
3x=6 3x=-6
Use the definition of absolute value.
x=2 x=-2
Divide both sides by 3.