Intermediate Algebra (12th Edition)

{1,$\frac{11}{3}$}
We are given the equation $|3x-7|-4=0$. In order to solve, first add 4 to both sides. $|3x-7|=4$ Therefore, we know that $3x-7=4$ or $3x-7=-4$. In order to solve $3x-7=4$, first add 7 to both sides. $3x=11$ Divide by 3. $x=\frac{11}{3}$ In order to solve $3x-7=-4$, first add 7 to both sides. $3x=3$ Divide by 3. $x=1$