Chapter 2 - Solving Equations - 2-5 Literal Equations and Formulas - Practice and Problem-Solving Exercises - Page 112: 27

$x=2y-4$

We are trying to solve for $x$ in the equation $\frac{x+2}{y-1}=2$ First, we must multiply both sides of the equation by $y-1$: $\frac{x+2}{y-1}\times(y-1)=2(y-1)$ We simplify using the distributive property: $x+2=2y-2$ We subtract $2$ from both sides to isolate $x$: $x=2y-2-2$ We combine like terms: $x=2y-4$