OpenSAT

To solve for $x$, we can multiply both sides of the equation by $x-1$, which gives $2x + 3 = 5(x-1)$. Distributing the 5 on the right side gives $2x + 3 = 5x - 5$. Subtracting $2x$ and adding 5 to both sides of the equation gives $8 = 3x$. Dividing both sides by 3, we get $x = \frac{8}{3}$, or $x = 2\frac{2}{3}$. The only choice that matches this value is choice B.