OpenSAT

To solve for $x$, we begin by multiplying both sides of the equation by $(x - 1)$: $2x + 3 = 5(x - 1)$. Expanding the right side gives us $2x + 3 = 5x - 5$. Subtracting $2x$ from both sides and adding 5 to both sides, we get $8 = 3x$. Dividing both sides by 3, we obtain $x = \frac{8}{3}$, or $x = 4$.