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|\frac{1}{3}x-2|+5=5
Divide each term of x-6 by 3 to get \frac{1}{3}x-2.
|\frac{1}{3}x-2|=5-5
Subtract 5 from both sides.
|\frac{1}{3}x-2|=0
Subtract 5 from 5 to get 0.
\frac{1}{3}x-2=0
Use the definition of absolute value.
\frac{1}{3}x=2
Add 2 to both sides of the equation.
x=6
Multiply both sides by 3.