Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 38

$x=-\frac{8}{3}$

We start with the given equation: $\frac{x}{3}-\frac{7x}{12}=\frac{2}{3}$ We multiply by the least common denominator, 12: $12(\frac{x}{3}-\frac{7x}{12}=\frac{2}{3})$ We apply the distributive property: $4x-7x=8$ We combine like terms: $-3x=8$ Finally, we divide by $-3$ on each side of the equation: $x=\frac{8}{-3}=-\frac{8}{3}$