Answer
$\left\{-3, 4\right\}$
Work Step by Step
Divide 3 on both sides of the equation to obtain:
$|2x-1|=7$
RECALL:
$|x|=a \longrightarrow x=a \text{ or } x = -a$
Use the rule above to obtain:
$2x-1 = 7 \text{ or } 2x-1 = -7$
Solve each equation to obtain:
$2x = 7+1 \text{ or } 2x = -7 +1
\\2x = 8 \text{ or } 2x =-6
\\x = \frac{8}{2} \text{ or } x = \frac{-6}{2}
\\x=4 \text{ or } x = -3$
Thus, the solution set is $\left\{-3, 4\right\}$.
