Chapter 2 - Solving Equations - Chapter Review - 2-1 and 2-2 Solving One- and Two-Step Equations - Page 153: 10

$x=\frac{49}{14}$

We start with the given equation: $7x-2=22.5$ First, we add $2$ to both sides of the equation: $7x-2+2=22.5+2$ Next, we combine like terms on both sides of the equation: $7x=24.5$ Finally, we divide by $7$ on both sides of the equation: $x=\frac{24.5}{7}$ We multiply by $\frac{2}{2}$ to remove the decimal from the fraction: $x=\frac{49}{14}$