Solve for x
x=-10
x=14
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|\frac{1}{3}x-\frac{2}{3}|=4
Divide each term of x-2 by 3 to get \frac{1}{3}x-\frac{2}{3}.
\frac{1}{3}x-\frac{2}{3}=4 \frac{1}{3}x-\frac{2}{3}=-4
Use the definition of absolute value.
\frac{1}{3}x=\frac{14}{3} \frac{1}{3}x=-\frac{10}{3}
Add \frac{2}{3} to both sides of the equation.
x=14 x=-10
Multiply both sides by 3.
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