Solve for x
x=-11
x = \frac{37}{3} = 12\frac{1}{3} \approx 12.333333333
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|\frac{3}{5}x-\frac{2}{5}|=7
Divide each term of 3x-2 by 5 to get \frac{3}{5}x-\frac{2}{5}.
\frac{3}{5}x-\frac{2}{5}=7 \frac{3}{5}x-\frac{2}{5}=-7
Use the definition of absolute value.
\frac{3}{5}x=\frac{37}{5} \frac{3}{5}x=-\frac{33}{5}
Add \frac{2}{5} to both sides of the equation.
x=\frac{37}{3} x=-11
Divide both sides of the equation by \frac{3}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
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