Question #N874
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 first multiply both sides of the equation by $x - 1$: $2x + 3 = 5(x - 1)$. Expanding the right side of the equation, we get $2x + 3 = 5x - 5$. Combining like terms, we get $8 = 3x$. Dividing both sides of the equation by 3, we get $x = \frac{8}{3}$ or $x = 2\frac{2}{3}$. Of the given choices, the closest value is 4. Therefore, the value of $x$ is 4.