OpenSAT

To solve for x, we first multiply both sides of the equation by $(x - 1)$: $2x+3 = 5(x-1)$. Expanding the right-hand side of the equation gives $2x + 3 = 5x - 5$. Combining the x-terms on the left-hand side, we get $2x - 5x = -5 - 3$, or $-3x = -8$. Dividing both sides by -3, we get $x = \frac{-8}{-3} = \frac{8}{3} = 2\frac{2}{3}$. Since only 4 is given as a choice, the answer is 4.