Solve for x
x=-1
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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|\frac{4}{5}x-\frac{1}{5}|=1
Divide each term of 4x-1 by 5 to get \frac{4}{5}x-\frac{1}{5}.
\frac{4}{5}x-\frac{1}{5}=1 \frac{4}{5}x-\frac{1}{5}=-1
Use the definition of absolute value.
\frac{4}{5}x=\frac{6}{5} \frac{4}{5}x=-\frac{4}{5}
Add \frac{1}{5} to both sides of the equation.
x=\frac{3}{2} x=-1
Divide both sides of the equation by \frac{4}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
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