Answer
{$-\frac{16}{3},6$}
Work Step by Step
Using the rules for absolute values to generate two equations, we obtain:
Step 1: $|3x-1|=17$
Step 2: $3x-1=17$ and $3x-1=-17$
Step 3: $3x=17+1$ and $3x=-17+1$
Step 4: $3x=18$ and $3x=-16$
Step 5: $x=\frac{18}{3}$ and $x=-\frac{16}{3}$
Step 6: $x=6$ and $x=-\frac{16}{3}$
Therefore, the solution set for the equation is {$-\frac{16}{3},6$}.
