Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 213: 84

x=40 or x=-16

|$\frac{x}{4}$-3|=7 $\frac{x}{4}$-3=7 or $\frac{x}{4}$-3=-7 $\frac{x}{4}$=10 or $\frac{x}{4}$=-4 x=40 or x=-16 Check the solutions: $\frac{40}{4}$-3=7 or $\frac{-16}{4}$-3=-7 10-3=7 or -4-3=-7 7=7 or -7=-7 So x=40 or x=-16.