Solve for x
x=-88
x=82
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|\frac{1}{5}x+\frac{3}{5}|=17
Divide each term of x+3 by 5 to get \frac{1}{5}x+\frac{3}{5}.
\frac{1}{5}x+\frac{3}{5}=17 \frac{1}{5}x+\frac{3}{5}=-17
Use the definition of absolute value.
\frac{1}{5}x=\frac{82}{5} \frac{1}{5}x=-\frac{88}{5}
Subtract \frac{3}{5} from both sides of the equation.
x=82 x=-88
Multiply both sides by 5.
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