#### Answer

$x=2y-4$

#### Work Step by Step

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: $x=2y-4$