Solve for x
x=-19
x=21
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|\frac{1}{5}x-\frac{1}{5}|=4
Divide each term of x-1 by 5 to get \frac{1}{5}x-\frac{1}{5}.
\frac{1}{5}x-\frac{1}{5}=4 \frac{1}{5}x-\frac{1}{5}=-4
Use the definition of absolute value.
\frac{1}{5}x=\frac{21}{5} \frac{1}{5}x=-\frac{19}{5}
Add \frac{1}{5} to both sides of the equation.
x=21 x=-19
Multiply both sides by 5.
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