Question #N734
If $\frac{2x + 3}{x - 1} = 5$, what is the value of $x$?
A. 1
B. 2
C. 4
D. 8
Correct Answer is: C
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 $x = 4$.